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Relevant bibliographies by topics / Algebra Mathematics

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Academic literature on the topic 'Algebra Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Algebra Mathematics"

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Kassem, M. S., and K. Rowlands. "Double multipliers andA*-algebras of the first kind." Mathematical Proceedings of the Cambridge Philosophical Society 102, no. 3 (1987): 507–16. http://dx.doi.org/10.1017/s0305004100067554.

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LetAbe anA*-algebra and letdenote its auxiliary norm closure. The multiplier algebras of dualA*-algebras of the first kind have been studed by Tomiuk [12], [13] and Wong[15]. In this paper we study the double multiplier algebra ofA*-algebras of the first kind. In particular, we prove that, ifAis anA*-algebra of the first kind, then the double multiplier algebraM(A) ofAis *-isomorphic and (auxiliary norm) isometric to a subalgebra ofM(), extending in the process some results established by Tomiuk[12]. We also consider the embedding of the double multiplier algebra ofAin**, when the latter is re

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Pei, Yufeng, and Jinwei Yang. "Strongly graded vertex algebras generated by vertex Lie algebras." Communications in Contemporary Mathematics 21, no. 08 (2019): 1850069. http://dx.doi.org/10.1142/s0219199718500694.

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We construct three families of vertex algebras along with their modules from appropriate vertex Lie algebras, using the constructions in [Vertex Lie algebra, vertex Poisson algebras and vertex algebras, in Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory[Formula: see text] Proceedings of an International Conference at University of Virginia[Formula: see text] May 2000, in Contemporary Mathematics, Vol. 297 (American Mathematical Society, 2002), pp. 69–96] by Dong, Li and Mason. These vertex algebras are strongly graded vertex algebras introduced in [Logarithm

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Marchuk, N. "Generalized Exterior Algebras." Ukrainian Journal of Physics 57, no. 4 (2012): 422. http://dx.doi.org/10.15407/ujpe57.4.422.

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Exterior algebras and differential forms are widely used in many fields of modern mathematics and theoretical physics. In this work, we define a notion of N-metric exterior algebra, which depends on N matrices of structure constants. The usual exterior algebra (Grassmann algebra) can be considered as a 0-metric exterior algebra. The Clifford algebra can be considered as a 1-metric exterior algebra. N-metric exterior algebras for N ≥ 2 can be considered as generalizations of the Grassmann and Clifford algebras. Specialists consider models of gravity that are based on a mathematical formalism wi

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Padhan, Rudra Narayan, and K. C. Pati. "Some studies on central derivation of nilpotent Lie superalgebra." Asian-European Journal of Mathematics 13, no. 04 (2018): 2050068. http://dx.doi.org/10.1142/s1793557120500680.

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Many theorems and formulas of Lie superalgebras run quite parallel to Lie algebras, sometimes giving interesting results. So it is quite natural to extend the new concepts of Lie algebra immediately to Lie superalgebra case as the later type of algebras have wide applications in physics and related theories. Using the concept of isoclinism, Saeedi and Sheikh-Mohseni [A characterization of stem algebras in terms of central derivations, Algebr. Represent. Theory 20 (2017) 1143–1150; On [Formula: see text]-derivations of Filippov algebra, to appear in Asian-Eur. J. Math.; S. Sheikh-Mohseni, F. Sa

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Feeman, Timothy G. "The Bourgain algebra of a nest algebra." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (1997): 151–66. http://dx.doi.org/10.1017/s0013091500023518.

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In analogy with a construction from function theory, we herein define right, left, and two-sided Bourgain algebras associated with an operator algebra A. These algebras are defined initially in Banach space terms, using the weak-* topology on A, and our main result is to give a completely algebraic characterization of them in the case where A is a nest algebra. Specifically, if A = alg N is a nest algebra, we show that each of the Bourgain algebras defined has the form A + K ∩ B, where B is the nest algebra corresponding to a certain subnest of N. We also characterize algebraically the second-

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BOKUT, L. A., YUQUN CHEN, and QIUHUI MO. "GRÖBNER–SHIRSHOV BASES AND EMBEDDINGS OF ALGEBRAS." International Journal of Algebra and Computation 20, no. 07 (2010): 875–900. http://dx.doi.org/10.1142/s0218196710005923.

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In this paper, by using Gröbner–Shirshov bases, we show that in the following classes, each (respectively, countably generated) algebra can be embedded into a simple (respectively, two-generated) algebra: associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We show that in the following classes, each countably generated algebra over a countable field k can be embedded into a simple two-generated algebra: associative algebras, semigroups, Lie algebras, associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We gi

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Velychko, Vladyslav Ye, Andrii V. Stopkin, and Olena H. Fedorenko. "USE OF COMPUTER ALGEBRA SYSTEM MAXIMA IN THE PROCESS OF TEACHING FUTURE MATHEMATICS TEACHERS." Information Technologies and Learning Tools 69, no. 1 (2019): 112. http://dx.doi.org/10.33407/itlt.v69i1.2284.

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The article is devoted to the research of a problem of the application of computer algebra systems in the course of skill training of future mathematics teachers. The possibility of study organization for students of pedagogical institutions of higher education receiving "014 secondary education (mathematics)" speciality with the use of computer algebra systems is considered. The term "computer algebra system" is understood as the software which is intended for the solving of various mathematical tasks by means of a computer with a possibility of visualization of all stages of calculations. Pr

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Nahlus, Nazih. "Lie Algebras of Pro-Affine Algebraic Groups." Canadian Journal of Mathematics 54, no. 3 (2002): 595–607. http://dx.doi.org/10.4153/cjm-2002-021-9.

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AbstractWe extend the basic theory of Lie algebras of affine algebraic groups to the case of pro-affine algebraic groups over an algebraically closed fieldKof characteristic 0. However, some modifications are needed in some extensions. So we introduce the pro-discrete topology on the Lie algebra ℒ(G) of the pro-affine algebraic groupGoverK, which is discrete in the finite-dimensional case and linearly compact in general. As an example, ifLis any sub Lie algebra of ℒ(G), we show that the closure of [L,L] in ℒ(G) is algebraic in ℒ(G).We also discuss the Hopf algebra of representative functions H

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KRASNOZHON, O. B., та V. V. MATSIUK. "КОМП’ЮТЕРНО-ОРІЄНТОВАНІ ЕЛЕМЕНТИ НАВЧАННЯ МАТЕМАТИЧНИХ ДИСЦИПЛІН МАЙБУТНІХ УЧИТЕЛІВ МАТЕМАТИКИ". Scientific papers of Berdiansk State Pedagogical University Series Pedagogical sciences 1, № 2 (2021): 255–62. http://dx.doi.org/10.31494/2412-9208-2021-1-2-255-262.

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The article is devoted to the issues of constructing effective computer-oriented components of the methodological system of teaching the disciplines «Linear Algebra» and «Probability Theory with Elements of Mathematical Statistics» provided for in the educational and professional program «Secondary Education (Mathematics)» of the first level of higher education in the specialty 014 Secondary Education (Mathematics). The article analyzes the methodological aspects of the effective organization of computations when finding the angle between a given vector and a nonzero subspace of Euclidean spac

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Chaudhry, Muhammad Anwar, Asfand Fahad, Muhammad Imran Qureshi, and Urwa Riasat. "Some Results about Weak UP-algebras." Journal of Mathematics 2022 (September 16, 2022): 1–6. http://dx.doi.org/10.1155/2022/1206804.

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We introduce a new class of algebras, weak UP-algebras, briefly written as WUP-algebras, as a wider class than the classes of UP-algebras and KU-algebras. We investigate fundamental aspects including maximal elements, branches and the subalgebra consisting of maximal elements of a WUP-algebra. We also study regular congruences on a WUP-algebra as well as the corresponding quotient WUP-algebras. We prove that the congruence generated from the branches of a WUP-algebra is regular and the corresponding quotient algebra χ / q is isomorphic to the WUP-algebra Max χ , the subalgebra of χ consisting

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Dissertations / Theses on the topic "Algebra Mathematics"

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Rigby, Simon W. "Steinberg algebra and Leavitt path algebras." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29433.

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Leavitt path algebras are a new and exciting subject in noncommutative ring theory. To each directed graph E, and unital commutative ring R, is associated an R-algebra called the Leavitt path algebra of E with coefficients in R. It was discovered, when the theory of Leavitt path algebras was already quite advanced, that some of the more difficult questions were susceptible to a new approach using topological groupoids. Taking a special kind of groupoid G, one can construct an R-algebra called the Steinberg algebra of G. Many interesting classes of algebras, including Leavitt path algebras, can

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Banjo, Elizabeth. "Representation theory of algebras related to the partition algebra." Thesis, City University London, 2013. http://openaccess.city.ac.uk/2360/.

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The main objective of this thesis is to determine the complex generic representation theory of the Juyumaya algebra. We do this by showing that a certain specialization of this algebra is isomorphic to the small ramified partition algebra, introduced by Martin (the representation theory of which is computable by a combination of classical and category theoretic techniques). We then use this result and general arguments of Cline, Parshall and Scott to prove that the Juyumaya algebra En(x) over the complex field is generically semisimple for all n 2 N. The theoretical background which will facil

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Yoshii, Yoji. "The coordinate algebra of extended affine Lie algebras of type A(1)." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0015/NQ46556.pdf.

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Hervey, Regina Lynn. "Equity in mathematics: Algebra for everyone." W&M ScholarWorks, 2000. https://scholarworks.wm.edu/etd/1539618546.

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Research over the past twenty years supports the teacher as the critical factor in the implementation of educational programs. The primary purpose of this mixed design study was to determine teachers' perceptions in implementing the required Algebra I program that was mandated by the state of Virginia in 1995. The research was examined through the lens of the recommendations of the National Council of Teachers of Mathematics (NCTM): communicating mathematically, making mathematical connections, becoming mathematical problem solvers, and reasoning mathematically. This study was limited to ninth

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EI-Chaar, Caroline. "The Onsager Algebra." Thesis, University of Ottawa (Canada), 2010. http://hdl.handle.net/10393/28699.

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In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. The third realization of the Onsager algebra consists of viewing it as an equivariant map algebra which then gives us the tools to classify its closed ideals. Finally, we examine the Onsager algebra as a subalgebra of the tetrahedron algebra. Using this fourth realization, we explicitly describe all its ideals.

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Schoenecker, Kevin J. "An infinite family of anticommutative algebras with a cubic form." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1187185559.

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Al, Homsi Rania. "Equation Solving in Indian Mathematics." Thesis, Uppsala universitet, Algebra och geometri, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355870.

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Tretter, Jacquelyn D. "Mathematics Anxiety in Ninth-Grade Pre-Algebra." TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1165.

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In this qualitative action research study, five lower-achieving freshman prealgebra students in a rural high school were interviewed about mathematics anxiety. The subjects ranged in age from 13 to 15 years and included three boys and two girls, of which one was Hispanic, one was African-American, and three were Caucasian. These students had tested below the fourth-grade level in mathematics during their eighth-grade year and were placed in special pre-algebra classes, which met for 30 additional minutes each day and progressed with more depth, but at a slower pace. The researcher employed per

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Stutsman, Michelle Diane. "Semisimplicity for Hopf algebras." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1247.

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Oyinsan, Sola. "Primary decomposition of ideals in a ring." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3289.

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The concept of unique factorization was first recognized in the 1840s, but even then, it was still fairly believed to be automatic. The error of this assumption was exposed largely through attempts to prove Pierre de Fermat's, 1601-1665, last theorem. Once mathematicians discovered that this property did not always hold, it was only natural for them to try to search for the strongest available alternative. Thus began the attempt to generalize unique factorization. Using the ascending chain condition on principle ideals, we will show the conditions under which a ring is a unique factorization d

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Books on the topic "Algebra Mathematics"

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Kondrat'ev, Gennadiy. Clifford Geometric Algebra. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1832489.

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The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied. An application to the differential geometry of a Euclidean manifold based on a shape tensor is included. We consider products, coproducts and tensor products in the category of associative algebras with application to the decomposition of Cliffor

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Business algebra & mathematics. Prentice-Hall, 1987.

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A, Stroud K., ed. Linear algebra. Industrial Press, 2008.

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Williamson, Richard E. Multivariable mathematics. 4th ed. Pearson Prentice Hall, 2004.

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Williamson, Richard E. Multivariable mathematics. 3rd ed. Prentice Hall, 1996.

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Martin, Mathieu, ed. Local multipliers of C*-algebras. Springer, 2003.

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L, Lial Margaret, ed. Developmental mathematics: Basic mathematics and algebra. Pearson Addison Wesley, 2007.

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L, Lial Margaret, ed. Developmental mathematics: Basic mathematics and algebra. Pearson Addison Wesley, 2008.

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L, Lial Margaret, ed. Developmental mathematics: basic mathematics and algebra. 2nd ed. Pearson Education, 2009.

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Lial, Margaret L. Developmental mathematics: Basic mathematics and algebra. 3rd ed. Pearson, 2013.

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Book chapters on the topic "Algebra Mathematics"

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Råde, Lennart, and Bertil Westergren. "Algebra." In Mathematics Handbook. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03556-6_2.

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Dzhafarov, Damir D., and Carl Mummert. "Algebra." In Reverse Mathematics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11367-3_11.

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Bird, John. "Algebra." In Engineering Mathematics. Routledge, 2017. http://dx.doi.org/10.4324/9781315561851-7.

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Harte, Robin. "Algebra." In SpringerBriefs in Mathematics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05648-7_1.

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Graham, Duncan, and Christine Graham. "Algebra." In Revise Mathematics GCSE. Macmillan Education UK, 1993. http://dx.doi.org/10.1007/978-1-349-13328-4_2.

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Motz, Lloyd, and Jefferson Hane Weaver. "Graphic Algebra." In Conquering Mathematics. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-2774-3_4.

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Buckwell, Geoff. "More algebra." In Mastering Mathematics. Macmillan Education UK, 1997. http://dx.doi.org/10.1007/978-1-349-14131-9_10.

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Buckwell, Geoff. "Introducing algebra." In Mastering Mathematics. Macmillan Education UK, 1997. http://dx.doi.org/10.1007/978-1-349-14131-9_3.

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Råde, Lennart, and Bertil Westergren. "Linear Algebra." In Mathematics Handbook. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03556-6_4.

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Bird, John. "Further algebra." In Engineering Mathematics. Routledge, 2017. http://dx.doi.org/10.4324/9781315561851-8.

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Conference papers on the topic "Algebra Mathematics"

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Antonova, Larisa V., Tatyana V. Burzalova, and Aleksandr V. Daneev. "APPLYING COMPUTER ALGEBRA SYSTEM MATHEMATICA IN TEACHING DISCRETE MATHEMATICS." In Innovative technologies in science and education. Buryat State University Publishing Department, 2015. http://dx.doi.org/10.18101/978-5-9793-0803-6-220-223.

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Bijev, G. "Semigroups and computer algebra in algebraic structures." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12): Proceedings of the 38th International Conference Applications of Mathematics in Engineering and Economics. AIP, 2012. http://dx.doi.org/10.1063/1.4766808.

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Jananthan, Hayden, Ziqi Zhou, Vijay Gadepally, Dylan Hutchison, Suna Kim, and Jeremy Kepner. "Polystore mathematics of relational algebra." In 2017 IEEE International Conference on Big Data (Big Data). IEEE, 2017. http://dx.doi.org/10.1109/bigdata.2017.8258298.

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Lawson, D. A. "Computer algebra in engineering mathematics." In IEE Colloquium on Teaching of Mathematics for Engineering. IEE, 1997. http://dx.doi.org/10.1049/ic:19970458.

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Rosyada, Syahida Amalia, Siswanto, and Vika Yugi Kurniawan. "Bases in Min-Plus Algebra." In International Conference of Mathematics and Mathematics Education (I-CMME 2021). Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.211122.044.

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Tinnirello, Alicia María, Eduardo Alberto Gago, and Paola Andrea Szekieta. "ALGORITHMIC MATHEMATICS IN LINEAR ALGEBRA APPLICATIONS." In 12th International Technology, Education and Development Conference. IATED, 2018. http://dx.doi.org/10.21125/inted.2018.1738.

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Kozhukhov, Igor Borisovich, and Ksenia Anatolievna Kolesnikova. "Some conditions of finiteness on polygons over semigroups." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-68.

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A polygon over a semigroup is an algebraic model machine. A finiteness condition in algebra is any condition which is satisfied by all finite algebras. The following finiteness conditions in acts over semigroups: Artinianity, Noetherian, Hopfian, Kohopfian, Cantorian, Cocantorian, the relationship between them is discussed. In addition, issues are discussed preserving or not preserving these properties with respect to the take operation direct product and coproduct.

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Hildenbrand, Dietmar. "Foundations of Geometric Algebra computing." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756054.

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Sommen, F., Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Haar Wavelets is a Clifford Algebra." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790266.

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Hodaňová, Jitka, and Tomáš Zdráhal. "USING COMPUTER ALGEBRA SYSTEMS IN MATHEMATICS EDUCATION." In 10th annual International Conference of Education, Research and Innovation. IATED, 2017. http://dx.doi.org/10.21125/iceri.2017.0760.

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Reports on the topic "Algebra Mathematics"

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Lovianova, Iryna V., Dmytro Ye Bobyliev, and Aleksandr D. Uchitel. Cloud calculations within the optional course Optimization Problems for 10th-11th graders. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3267.

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The article deals with the problem of introducing cloud calculations into 10th-11th graders’ training to solve optimization problems in the context of the STEM-education concept. After analyzing existing programmes of optional courses on optimization problems, the programme of the optional course Optimization Problems has been developed and substantiated implying solution of problems by the cloud environment CoCalc. It is a routine calculating operation and not a mathematical model that is accentuated in the programme. It allows considering more problems which are close to reality without adap

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Bilousova, Liudmyla I., Liudmyla E. Gryzun, Daria H. Sherstiuk, and Ekaterina O. Shmeltser. Cloud-based complex of computer transdisciplinary models in the context of holistic educational approach. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3259.

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The paper represents the authors’ cloud-based complex of computer dynamic models and their transdisciplinary facilities. Proper theoretical background for the complex design is elaborated and the process of the computer models development is covered. The models in the complex are grouped in the sections according to the curriculum subjects (Physics, Algebra, Geometry, Biology, Geography, and Informatics). Each of the sections includes proper models along with their description and transdisciplinary didactic support. The paper also presents recommendations as for using of the complex to provide

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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Meisel, L. V. A Mathematica Formulation of Geometric Algebra in 3-Space. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada295512.

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Osipov, G. S., N. S. Vashakidze, and G. V. Filippova. Basics of solving optimization problems on graphs in the Wolfram Mathematica computer algebra package. Постулат, 2019. http://dx.doi.org/10.18411/postulat-2019-3-36.

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Schoen, Robert C., Daniel Anderson, and Charity Bauduin. Elementary Mathematics Student Assessment: Measuring Grade 3, 4, and 5 Students’ Performace in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Spring 2016. Florida State University Library, 2018. http://dx.doi.org/10.33009/fsu.1653497279.

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This report provides a description of the development process, field testing, and psychometric properties of a student mathematics test designed to assess grades 3, 4, and 5 student abilities. The test was administered to 2,754 participating grade 3, 4, and 5 students in 55 schools located in 10 public school districts in Florida during spring 2016. Focused on number (including whole number and fractions), operations, and algebraic thinking, the student assessment was designed to serve as a baseline measure of student achievement in a randomized controlled trial evaluating the impact of a teac

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Sultanov, S. R. Electronic textbook " Algebra and number theory. Part 2 "direction of training 02.03.03" Mathematical support and administration of information systems". OFERNIO, 2018. http://dx.doi.org/10.12731/ofernio.2018.23685.

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Schoen, Robert C., Daniel Anderson, Claire M. Riddell, and Charity Bauduin. Elementary Mathematics Student Assessment: Measuring the Performance of Grade 3, 4 and 5 Students in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Fall 2015. Florida State University Libraries, 2018. http://dx.doi.org/10.33009/fsu.1581609234.

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Schoen, Robert, Charity Buntin, Ahmet Guven, and Xiaotong Yang. Elementary mathematics student assessment: Measuring the performance of grade K, 1, 2, and 3 students in number (whole numbers and fractions), operations, and algebraic thinking in spring 2019. Florida State University Libraries, 2021. http://dx.doi.org/10.33009/fsu-1622059548.

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Final report: SIAM [Society for Industrial and Applied Mathematics] Conference on Linear Algebra and its Applications, October 23-26, 2000. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/798441.

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