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Journal articles on the topic 'Algebraic'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Arutyunov, A. A. "ON DERIVATIONS ASSOCIATED WITH DIFFERENT ALGEBRAIC STRUCTURES IN GROUP ALGEBRAS." Eurasian Mathematical Journal 9, no. 3 (2018): 8–13. http://dx.doi.org/10.32523/2077-9879-2018-9-3-8-13.

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2

Nongmanee, Anak, and Sorasak Leeratanavalee. "Algebraic connections between Menger algebras and Menger hyperalgebras via regularity." Algebra and Discrete Mathematics 36, no. 1 (2023): 61–73. http://dx.doi.org/10.12958/adm2135.

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Menger hyperalgebras of rank n, where n is a fixed integer, can be regarded as a natural generalization of arbitrary semihypergroups. Based on this knowledge, an interesting question arises: what a generalization of regular semihypergroups is. In the article, we establish the notion of v-regular Menger hyperalgebras of rank n, which can be considered as an extension of regular semihypergroups. Furthermore, we study regularity of Menger hyperalgebras of rank n which are induced by some subsets of Menger algebras of rank n. In particular, we obtain sufficient conditions so that the Menger hypera

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3

Ligęza, J., and M. Tvrdý. "On systems of linear algebraic equations in the Colombeau algebra." Mathematica Bohemica 124, no. 1 (1999): 1–14. http://dx.doi.org/10.21136/mb.1999.125977.

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4

Clerbout, M., and Y. Roos. "Semicommutations and algebraic algebraic." Theoretical Computer Science 103, no. 1 (1992): 39–49. http://dx.doi.org/10.1016/0304-3975(92)90086-u.

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5

Nesterenko, Yu V. "ON ALGEBRAIC INDEPENDENCE OF ALGEBRAIC POWERS OF ALGEBRAIC NUMBERS." Mathematics of the USSR-Sbornik 51, no. 2 (1985): 429–54. http://dx.doi.org/10.1070/sm1985v051n02abeh002868.

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6

Armitage, J. V. "ALGEBRAIC NUMBERS AND ALGEBRAIC FUNCTIONS." Bulletin of the London Mathematical Society 27, no. 3 (1995): 296–98. http://dx.doi.org/10.1112/blms/27.3.296.

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7

Hone, A. N. W., Orlando Ragnisco, and Federico Zullo. "Algebraic entropy for algebraic maps." Journal of Physics A: Mathematical and Theoretical 49, no. 2 (2015): 02LT01. http://dx.doi.org/10.1088/1751-8113/49/2/02lt01.

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8

VIALLET, C. M. "ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY." International Journal of Geometric Methods in Modern Physics 05, no. 08 (2008): 1373–91. http://dx.doi.org/10.1142/s0219887808003375.

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We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector. It also has remarkable properties, which make it an interesting object of study by itself. It is in particular conjectured to be the logarithm of algebraic integer, with a limited range of values, still to be explored.

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9

Giusti, Neura Maria De Rossi, and Claudia Lisete Oliveira Groenwald. "Matemática na Comunidade: um contexto educativo para a aprendizagem social e desenvolvimento do pensamento algébricoMathematics in the Community: an educational context to the social learning and development of algebraic thinking." Educação Matemática Pesquisa : Revista do Programa de Estudos Pós-Graduados em Educação Matemática 23, no. 1 (2021): 561–90. http://dx.doi.org/10.23925/1983-3156.2021v23i1p561-590.

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ResumoO artigo apresenta um recorte de uma pesquisa desenvolvida no município de Vacaria, no estado do Rio Grande do Sul, onde investigou-se a integração e divulgação de conhecimentos matemáticos na comunidade, a partir de um contexto educativo para a socialização de conceitos da educação básica, tendo em vista a aprendizagem social e, especificamente neste trabalho, o desenvolvimento do pensamento algébrico. Para a pesquisa qualitativa de investigação-ação foram utilizadas entrevistas dirigidas a comunidade participante e registros fotográficos com as resoluções das tarefas. As análises se ap

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10

Hemalatha, Bobbili. "Understanding Binary Operations and Algebraic Structures: A Foundational Approach to Abstract Algebra." International Journal of Science and Research (IJSR) 14, no. 1 (2025): 81–82. https://doi.org/10.21275/sr241231182642.

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11

Sreeja S Nair, Kumari. "Exploring Normal Covering Spaces: A Bridge between Algebraic Topology and Abstract Algebra." International Journal of Science and Research (IJSR) 12, no. 8 (2023): 2474–77. http://dx.doi.org/10.21275/sr23824225856.

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12

Pták, Vlastimil, and Pavla Vrbová. "Algebraic spectral subspaces." Czechoslovak Mathematical Journal 38, no. 2 (1988): 342–50. http://dx.doi.org/10.21136/cmj.1988.102229.

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13

Hsiang, Jieh, and Anita Wasilewska. "Automating Algebraic Proofs in Algebraic Logic." Fundamenta Informaticae 28, no. 1,2 (1996): 129–40. http://dx.doi.org/10.3233/fi-1996-281208.

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14

Wampler, Charles W., and Andrew J. Sommese. "Numerical algebraic geometry and algebraic kinematics." Acta Numerica 20 (April 28, 2011): 469–567. http://dx.doi.org/10.1017/s0962492911000067.

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In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism spaces) are introduced. This provides a common schema for many kinds of problems that are of interest in kinematic studies. Once the problems are cast in this algebraic framework, they can be attacked by tools from algebraic geometry. In particular, we review the techniques of numerical algebraic geometry, which are primarily based on homotopy methods. We include a review of the main developments of recent years and outline some of the frontiers where further research is occurring. While numerical algeb

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15

Abánades, Miguel, and Wojciech Kucharz. "Algebraic equivalence of real algebraic cycles." Annales de l’institut Fourier 49, no. 6 (1999): 1797–804. http://dx.doi.org/10.5802/aif.1738.

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16

Gao, Lingyun. "Algebraic solutions of algebraic differential equations." Applied Mathematics-A Journal of Chinese Universities 20, no. 1 (2005): 45–50. http://dx.doi.org/10.1007/s11766-005-0035-3.

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17

Bader, Uri, Bruno Duchesne, and Jean Lécureux. "Almost algebraic actions of algebraic groups and applications to algebraic representations." Groups, Geometry, and Dynamics 11, no. 2 (2017): 705–38. http://dx.doi.org/10.4171/ggd/413.

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18

KONG, XIAOLI, HONGJIA CHEN, and CHENGMING BAI. "CLASSIFICATION OF GRADED LEFT-SYMMETRIC ALGEBRAIC STRUCTURES ON WITT AND VIRASORO ALGEBRAS." International Journal of Mathematics 22, no. 02 (2011): 201–22. http://dx.doi.org/10.1142/s0129167x11006751.

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We find that a compatible graded left-symmetric algebraic structure on the Witt algebra induces an indecomposable module V of the Witt algebra with one-dimensional weight spaces by its left-multiplication operators. From the classification of such modules of the Witt algebra, the compatible graded left-symmetric algebraic structures on the Witt algebra are classified. All of them are simple and they include the examples given by [Comm. Algebra32 (2004) 243–251; J. Nonlinear Math. Phys.6 (1999) 222–245]. Furthermore, we classify the central extensions of these graded left-symmetric algebras whi

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19

Praeger, Cheryl E. "Kronecker classes of fields and covering subgroups of finite groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 57, no. 1 (1994): 17–34. http://dx.doi.org/10.1017/s1446788700036028.

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AbstractKronecker classes of algebraci number fields were introduced by W. Jehne in an attempt to understand the extent to which the structure of an extension K: k of algebraic number fields was influenced by the decomposition of primes of k over K. He found an important link between Kronecker equivalent field extensions and a certain covering property of their Galois groups. This surveys recent contributions of Group Theory to the understanding of Kronecker equivalence of algebraic number fields. In particular some group theoretic conjectures related to the Kronecker class of an extension of

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20

Żołądek, Henryk. "On algebraic solutions of algebraic Pfaff equations." Studia Mathematica 114, no. 2 (1995): 117–26. http://dx.doi.org/10.4064/sm-114-2-117-126.

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21

Buchner, M., and W. Kucharz. "Algebraic vector bundles over real algebraic varieties." Bulletin of the American Mathematical Society 17, no. 2 (1987): 279–83. http://dx.doi.org/10.1090/s0273-0979-1987-15558-3.

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22

Jamshidpey, Armin, Nicole Lemire, and Éric Schost. "Algebraic construction of quasi-split algebraic tori." Journal of Algebra and Its Applications 19, no. 11 (2019): 2050206. http://dx.doi.org/10.1142/s0219498820502060.

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The main purpose of this work is to give a constructive proof for a particular case of the no-name lemma. Let [Formula: see text] be a finite group, [Formula: see text] a field that is equipped with a faithful [Formula: see text]-action, and [Formula: see text] a sign permutation [Formula: see text]-lattice (see the Introduction for the definition). Then [Formula: see text] acts naturally on the group algebra [Formula: see text] of [Formula: see text] over [Formula: see text], and hence also on the quotient field [Formula: see text]. A well-known variant of the no-name lemma asserts that the i

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23

Yuan, Pingzhi. "On algebraic approximations of certain algebraic numbers." Journal of Number Theory 102, no. 1 (2003): 1–10. http://dx.doi.org/10.1016/s0022-314x(03)00068-4.

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24

Janssen, Theo M. V. "Algebraic translations, correctness and algebraic compiler construction." Theoretical Computer Science 199, no. 1-2 (1998): 25–56. http://dx.doi.org/10.1016/s0304-3975(97)00267-3.

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25

Krishna, Amalendu, and Jinhyun Park. "Algebraic cobordism theory attached to algebraic equivalence." Journal of K-Theory 11, no. 1 (2013): 73–112. http://dx.doi.org/10.1017/is013001028jkt210.

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AbstractBased on the algebraic cobordism theory of Levine and Morel, we develop a theory of algebraic cobordism modulo algebraic equivalence.We prove that this theory can reproduce Chow groups modulo algebraic equivalence and the semi-topological K0-groups. We also show that with finite coefficients, this theory agrees with the algebraic cobordism theory.We compute our cobordism theory for some low dimensional varieties. The results on infinite generation of some Griffiths groups by Clemens and on smash-nilpotence by Voevodsky and Voisin are also lifted and reinterpreted in terms of this cobor

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26

Morgan, John W. "The algebraic topology of smooth algebraic varieties." Publications mathématiques de l'IHÉS 64, no. 1 (1986): 185. http://dx.doi.org/10.1007/bf02699195.

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27

Daniyarova, E. Yu, A. G. Myasnikov, and V. N. Remeslennikov. "Algebraic geometry over algebraic structures. II. Foundations." Journal of Mathematical Sciences 185, no. 3 (2012): 389–416. http://dx.doi.org/10.1007/s10958-012-0923-z.

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28

Ehrmann, Silvia, Sebastian Gries, and Marc Alexander Schweitzer. "Generalization of algebraic multiscale to algebraic multigrid." Computational Geosciences 24, no. 2 (2019): 683–96. http://dx.doi.org/10.1007/s10596-019-9826-0.

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29

Tao, Changli, Shijie Lu, and Peixin Chen. "Weakly algebraic reflexivity and strongly algebraic reflexivity." Applied Mathematics-A Journal of Chinese Universities 17, no. 2 (2002): 193–98. http://dx.doi.org/10.1007/s11766-002-0045-3.

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30

Lindström, B. "Matroids algebraic overF(t) are algebraic overF." Combinatorica 9, no. 1 (1989): 107–9. http://dx.doi.org/10.1007/bf02122691.

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31

Tanimoto, Ryuji. "Algebraic torus actions on affine algebraic surfaces." Journal of Algebra 285, no. 1 (2005): 73–97. http://dx.doi.org/10.1016/j.jalgebra.2004.10.021.

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32

Voutsadakis, George. "Categorical Abstract Algebraic Logic: Referential Algebraic Semantics." Studia Logica 101, no. 4 (2013): 849–99. http://dx.doi.org/10.1007/s11225-013-9500-9.

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33

Davis, James F., Qayum Khan, and Andrew Ranicki. "AlgebraicK–theory over the infinite dihedral group: an algebraic approach." Algebraic & Geometric Topology 11, no. 4 (2011): 2391–436. http://dx.doi.org/10.2140/agt.2011.11.2391.

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34

Grone, Robert, and Russell Merris. "Algebraic connectivity of trees." Czechoslovak Mathematical Journal 37, no. 4 (1987): 660–70. http://dx.doi.org/10.21136/cmj.1987.102192.

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35

Chajda, Ivan, and Petr Emanovský. "$\Sigma$-isomorphic algebraic structures." Mathematica Bohemica 120, no. 1 (1995): 71–81. http://dx.doi.org/10.21136/mb.1995.125890.

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36

Fletcher, Colin R., and C. F. Gardiner. "Algebraic Structures." Mathematical Gazette 71, no. 456 (1987): 172. http://dx.doi.org/10.2307/3616534.

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37

De Concini, Corrado, Philippe Gille, and Peter Littelmann. "Algebraic Groups." Oberwolfach Reports 18, no. 2 (2022): 1087–148. http://dx.doi.org/10.4171/owr/2021/20.

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38

Bryant, Victor, and C. D. Godsil. "Algebraic Combinatorics." Mathematical Gazette 79, no. 484 (1995): 238. http://dx.doi.org/10.2307/3620119.

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39

Brion, Michel, Jens Carsten Jantzen, and Zinovy Reichstein. "Algebraic Groups." Oberwolfach Reports 10, no. 2 (2013): 1025–85. http://dx.doi.org/10.4171/owr/2013/17.

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40

Hacon, Christopher, Daniel Huybrechts, Yujiro Kawamata, and Bernd Siebert. "Algebraic Geometry." Oberwolfach Reports 12, no. 1 (2015): 783–836. http://dx.doi.org/10.4171/owr/2015/15.

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41

Drton, Mathias, Thomas Kahle, Bernd Sturmfels, and Caroline Uhler. "Algebraic Statistics." Oberwolfach Reports 14, no. 2 (2018): 1207–79. http://dx.doi.org/10.4171/owr/2017/20.

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42

De Concini, Corrado, Peter Littelmann, and Zinovy Reichstein. "Algebraic Groups." Oberwolfach Reports 14, no. 2 (2018): 1281–347. http://dx.doi.org/10.4171/owr/2017/21.

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43

Schwarzweller, Christoph, and Agnieszka Rowińska-Schwarzweller. "Algebraic Extensions." Formalized Mathematics 29, no. 1 (2021): 39–47. http://dx.doi.org/10.2478/forma-2021-0004.

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Summary In this article we further develop field theory in Mizar [1], [2], [3] towards splitting fields. We deal with algebraic extensions [4], [5]: a field extension E of a field F is algebraic, if every element of E is algebraic over F. We prove amongst others that finite extensions are algebraic and that field extensions generated by a finite set of algebraic elements are finite. From this immediately follows that field extensions generated by roots of a polynomial over F are both finite and algebraic. We also define the field of algebraic elements of E over F and show that this field is an

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44

Bloom, Stephen L., and Zoltan Ésik. "Algebraic Ordinals." Fundamenta Informaticae 99, no. 4 (2010): 383–407. http://dx.doi.org/10.3233/fi-2010-255.

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45

Wild, P. "ALGEBRAIC COMBINATORICS." Bulletin of the London Mathematical Society 27, no. 2 (1995): 191–92. http://dx.doi.org/10.1112/blms/27.2.191.

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46

Kollár, János. "Algebraic hypersurfaces." Bulletin of the American Mathematical Society 56, no. 4 (2019): 543–68. http://dx.doi.org/10.1090/bull/1663.

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47

Huneke, Craig, and Bernd Ulrich. "Algebraic linkage." Duke Mathematical Journal 56, no. 3 (1988): 415–29. http://dx.doi.org/10.1215/s0012-7094-88-05618-9.

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48

Galaktionova, E. "algebraic groups." Duke Mathematical Journal 77, no. 1 (1995): 63–69. http://dx.doi.org/10.1215/s0012-7094-95-07703-5.

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49

Vaninsky, Alexander. "Algebraic trigonometry." International Journal of Mathematical Education in Science and Technology 42, no. 3 (2011): 406–11. http://dx.doi.org/10.1080/0020739x.2010.526307.

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50

Watase, Yasushige. "Algebraic Numbers." Formalized Mathematics 24, no. 4 (2016): 291–99. http://dx.doi.org/10.1515/forma-2016-0025.

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Summary This article provides definitions and examples upon an integral element of unital commutative rings. An algebraic number is also treated as consequence of a concept of “integral”. Definitions for an integral closure, an algebraic integer and a transcendental numbers [14], [1], [10] and [7] are included as well. As an application of an algebraic number, this article includes a formal proof of a ring extension of rational number field ℚ induced by substitution of an algebraic number to the polynomial ring of ℚ[x] turns to be a field.

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