Academic literature on the topic 'Binomial ideals'

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Journal articles on the topic "Binomial ideals"

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Eisenbud, David, and Bernd Sturmfels. "Binomial ideals." Duke Mathematical Journal 84, no. 1 (1996): 1–45. http://dx.doi.org/10.1215/s0012-7094-96-08401-x.

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MartÍnez de Castilla, Ignacio Ojeda, and Ramón Peidra Sánchez. "Cellular Binomial Ideals. Primary Decomposition of Binomial Ideals." Journal of Symbolic Computation 30, no. 4 (2000): 383–400. http://dx.doi.org/10.1006/jsco.1999.0413.

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Kahle, Thomas, Ezra Miller, and Christopher O’Neill. "Irreducible decomposition of binomial ideals." Compositio Mathematica 152, no. 6 (2016): 1319–32. http://dx.doi.org/10.1112/s0010437x16007272.

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Building on coprincipal mesoprimary decomposition [Kahle and Miller, Decompositions of commutative monoid congruences and binomial ideals, Algebra and Number Theory 8 (2014), 1297–1364], we combinatorially construct an irreducible decomposition of any given binomial ideal. In a parallel manner, for congruences in commutative monoids we construct decompositions that are direct combinatorial analogues of binomial irreducible decompositions, and for binomial ideals we construct decompositions into ideals that are as irreducible as possible while remaining binomial. We provide an example of a bino
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Gao, Xiao-Shan, Zhang Huang, and Chun-Ming Yuan. "Binomial difference ideals." Journal of Symbolic Computation 80 (May 2017): 665–706. http://dx.doi.org/10.1016/j.jsc.2016.07.029.

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Ojeda, Ignacio. "Binomial Canonical Decompositions of Binomial Ideals." Communications in Algebra 39, no. 10 (2011): 3722–35. http://dx.doi.org/10.1080/00927872.2010.511923.

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Kahle, Thomas. "Decompositions of binomial ideals." Journal of Software for Algebra and Geometry 4, no. 1 (2012): 1–5. http://dx.doi.org/10.2140/jsag.2012.4.1.

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Becker, Eberhard, Rudolf Grobe, and Michael Niermann. "Radicals of binomial ideals." Journal of Pure and Applied Algebra 117-118 (May 1997): 41–79. http://dx.doi.org/10.1016/s0022-4049(97)00004-2.

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Kahle, Thomas. "Decompositions of binomial ideals." Annals of the Institute of Statistical Mathematics 62, no. 4 (2010): 727–45. http://dx.doi.org/10.1007/s10463-010-0290-9.

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Rauh, Johannes. "Generalized binomial edge ideals." Advances in Applied Mathematics 50, no. 3 (2013): 409–14. http://dx.doi.org/10.1016/j.aam.2012.08.009.

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Ene, Viviana, Giancarlo Rinaldo, and Naoki Terai. "Licci binomial edge ideals." Journal of Combinatorial Theory, Series A 175 (October 2020): 105278. http://dx.doi.org/10.1016/j.jcta.2020.105278.

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Dissertations / Theses on the topic "Binomial ideals"

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Mascia, Carla. "Ideals generated by 2-minors: binomial edge ideals and polyomino ideals." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/252052.

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Since the early 1990s, a classical object in commutative algebra has been the study of binomial ideals. A widely-investigated class of binomial ideals is the one containing those generated by a subset of 2-minors of an (m x n)-matrix of indeterminates. This thesis is devoted to illustrate some algebraic and homological properties of two classes of ideals of 2-minors: binomial edge ideals and polyomino ideals. Binomial edge ideals arise from finite graphs and their appeal results from the fact that their homological properties reflect nicely the combinatorics of the underlying graph. First, w
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Mascia, Carla. "Ideals generated by 2-minors: binomial edge ideals and polyomino ideals." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/252052.

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Since the early 1990s, a classical object in commutative algebra has been the study of binomial ideals. A widely-investigated class of binomial ideals is the one containing those generated by a subset of 2-minors of an (m x n)-matrix of indeterminates. This thesis is devoted to illustrate some algebraic and homological properties of two classes of ideals of 2-minors: binomial edge ideals and polyomino ideals. Binomial edge ideals arise from finite graphs and their appeal results from the fact that their homological properties reflect nicely the combinatorics of the underlying graph. First, w
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Shokrieh, Farbod. "Divisors on graphs, binomial and monomial ideals, and cellular resolutions." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/52176.

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We study various binomial and monomial ideals arising in the theory of divisors, orientations, and matroids on graphs. We use ideas from potential theory on graphs and from the theory of Delaunay decompositions for lattices to describe their minimal polyhedral cellular free resolutions. We show that the resolutions of all these ideals are closely related and that their Z-graded Betti tables coincide. As corollaries, we give conceptual proofs of conjectures and questions posed by Postnikov and Shapiro, by Manjunath and Sturmfels, and by Perkinson, Perlman, and Wilmes. Various other results rela
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Riderer, Lucia. "Numbers of generators of ideals in local rings and a generalized Pascal's Triangle." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2732.

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This paper defines generalized binomial coefficients and shows that they can be used to generate generalized Pascal's Triangles and have properties analogous to binomial coefficients. It uses the generalized binomial coefficients to compute the Dilworth number and the Sperner number of certain rings.
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Toman, Stefan [Verfasser], Ernst W. [Akademischer Betreuer] [Gutachter] Mayr, and Bruno [Gutachter] Buchberger. "Radicals of Binomial Ideals and Commutative Thue Systems / Stefan Toman ; Gutachter: Ernst W. Mayr, Bruno Buchberger ; Betreuer: Ernst W. Mayr." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/113701055X/34.

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De, Alba Casillas Hernan. "Nombres de Betti d'idéaux binomiaux." Thesis, Grenoble, 2012. http://www.theses.fr/2012GRENM043/document.

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Ha Minh Lam et M. Morales ont introduit une classe d'idéaux binomiaux qui est une extension binomiale d'idéaux monomiaux libres de carrés.Étant donné I un idéal monomial quadratique de k[x] libre de carrés et J une somme d'idéaux de scroll de k[z] qui satisfont certaines conditions, nous définissons l'extension binomiale de I comme B=I+J. Le sujet de cette thèse est d'étudier le nombre p plus grand tel que les sizygies de B son linéaires jusqu'au pas p-1. Sous certaines conditions d'ordre imposées sur les facettes du complexe de Stanley-Reisner de I nous obtiendrons un ordre > pour les vari
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ONeill, Christopher David. "Monoid Congruences, Binomial Ideals, and Their Decompositions." Diss., 2014. http://hdl.handle.net/10161/8786.

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<p>This dissertation refines and extends the theory of mesoprimary decomposition, as introduced by Kahle and Miller. We begin with an overview of the existing theory of mesoprimary decomposition </p><p>in both the combinatorial setting of monoid congruences and the arithmetic setting of binomial ideals. We state all definitions and results that are relevant for subsequent chapters. </p><p>We classify redundant mesoprimary components in both the combinatorial and arithmetic settings. Kahle and Miller give a class of redundant components in each setting that are redundant in every mesoprimar
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Varejão, Gonçalo Nuno Mota. "Eulerian Ideals and beyond." Master's thesis, 2021. http://hdl.handle.net/10316/95559.

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Dissertação de Mestrado em Matemática apresentada à Faculdade de Ciências e Tecnologia<br>O anel de polinómios K[x_1,...,x_n], com K um corpo, é um conceito importante na Álgebra Comutativa. Os matemáticos têm trabalhado com anéis de polinómios e os seus ideais desde o final do século XIX, mas a Álgebra Comutativa apenas se concretizou como um ramo da matemática no século XX. Foi em 1921, com o trabalho de Emmy Noether, que muitos dos atuais conceitos abstratos que estudamos em Álgebra Comutativa, ganharam a atenção da comunidade matemática. Hoje em dia, há uma nova área de investigação que co
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Wang, Zhi-he, and 王智禾. "Binomial Ideals in Polynomial Rings and Laurent Polynomial Rings." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/24245686075866636502.

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碩士<br>國立中正大學<br>數學所<br>98<br>In this thesis, we study some properties of binomial ideals in polynomial rings and Laurent polynomial rings and find that there is a one-to-one cor- respondence between binomial ideals in Laurent polynomial rings and the partial character of sublattice in Zn . Moreover, we also prove that the radical of a binomial ideal in polynomial rings is still a binomial ideal.
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Books on the topic "Binomial ideals"

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6.

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Trends in number theory: Fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain. American Mathematical Society, 2015.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. Binomial Ideals. Springer, 2018.

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Herzog, Jürgen. Binomial Ideals. Springer, 2019.

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Current Trends on Monomial and Binomial Ideals. MDPI, 2020. http://dx.doi.org/10.3390/books978-3-03928-361-3.

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Wright, A. G. Statistical processes. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199565092.003.0004.

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Two statistical processes affect performance: one concerns photon detection at the photocathode (binomial); and the other, gain at each dynode (Poisson). The combined statistical processes dictate resolution, both timing and pulse height. They are best examined using generating functions that are both elegant and capable of providing answers more efficiently than traditional approaches. The requirement for steady and pulsed light sources is an important one for testing and setting up procedures. The use of moments to test the quality of performance is illustrated for a steady DC light source.
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Pineda Buitrago, Sebastián, and José Sánchez Carbó, eds. Literatura aplicada en el siglo XXI: Ideas y prácticas. Editora Nómada, 2022. http://dx.doi.org/10.47377/litaplic.

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Compuesto por capítulos de diferentes especialistas en los estudios literarios que laboran en universidades de México, Europa y Estados Unidos, el libro Literatura aplicada en el siglo XXI: ideas y prácticas es el resultado de una invitación y de un esfuerzo para reflexionar sobre las posibilidades epistémicas del fenómeno literario como creación, recreación y programación. Parte de cuestionarse si el binomio clásico de estudiar/aprender ha perdido su sentido en la era de la tecnificación cibernética, es decir, de la inteligencia artificial y de la paulatina robotización del mundo. Puesto que
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Keevak, Michael. How Did East Asians Become Yellow? Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190465285.003.0011.

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This chapter offers a brief historical intervention explaining the rise of the term yellow for racial thinking about Asians. Using his binomial nomenclature species-naming system, the Swedish taxonomist Carolus Linnaeus separated Homo sapiens into four continental types, with distinct colors assigned to each. Over two decades later the German anatomist Johann Friedrich Blumenbach also classified Asians as yellow in his five-race scheme. Although some early twentieth-century anthropologists claimed to have proven that Mongolians (Asians) were physically yellow in an attempt to place Asians lowe
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Zangara, Juan Pablo. Clásico de clásicos: literatura, arte y mitología deportiva. Ediciones de Periodismo y Comunicación (EPC), 2021. http://dx.doi.org/10.35537/10915/131182.

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Este trabajo de Zangara (o esta reunión de trabajos) recorre la idea de lo clásico remando en un barco en el que el deporte –pasión de Zangara– corrobora, una vez más, que es un pasaporte posible para decodificar bastante humanidad. Zangara indaga y piensa sobre fútbol y sobre boxeo, sobre toros y sobre personas. Pero, en especial, indaga y piensa sobre otro once potente que le permite retratar la cancha de sociedades que fueron y de sociedades que son. Ahí van esos once (once que podrían ser más): los mitos, los héroes, la épica, lo sagrado, el primitivismo, la eternidad, la naturalización, l
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Book chapters on the topic "Binomial ideals"

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Binomial Edge Ideals and Related Ideals." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_7.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Polynomial Rings and Gröbner Bases." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_1.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Review of Commutative Algebra." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_2.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Introduction to Binomial Ideals." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_3.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Convex Polytopes and Unimodular Triangulations." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_4.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Edge Polytopes and Edge Rings." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_5.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Join-Meet Ideals of Finite Lattices." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_6.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Ideals Generated by 2-Minors." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_8.

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Statistics." In Binomial Ideals. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_9.

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Ene, Viviana, Jürgen Herzog, and Takayuki Hibi. "Koszul Binomial Edge Ideals." In Bridging Algebra, Geometry, and Topology. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09186-0_8.

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Conference papers on the topic "Binomial ideals"

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KAREEM, SHADMAN. "Integer-valued polynomials and binomially Noetherian rings." In 3rd International Conference of Mathematics and its Applications. Salahaddin University-Erbil, 2020. http://dx.doi.org/10.31972/ticma22.07.

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A torsion free as a Z- module ring R with unit is said to be a binomial ring if it is preserved as binomial symbol (a¦i)≔(a(a-1)(a-2)…(a-(i-1)))/i!, for each a∈R and i ≥ 0. The polynomial ring of integer-valued in rational polynomial Q[X] is defined by Int (Z^X):={h∈Q[X]:h(Z^X)⊂Z} an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their properties of binomial ideals. The notion of binomial ideal generated by a given set has been defined. Which allows us to define new class of Noetherian ring using binom
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Jinwang, Liu, Liu Zhuojun, Liu Xiaoqi, and Wang Mingsheng. "The membership problem for ideals of binomial skew polynomial rings." In the 2001 international symposium. ACM Press, 2001. http://dx.doi.org/10.1145/384101.384127.

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Chen, Yu-Ao, and Xiao-Shan Gao. "Criteria for Finite Difference Gröbner Bases of Normal Binomial Difference Ideals." In ISSAC '17: International Symposium on Symbolic and Algebraic Computation. ACM, 2017. http://dx.doi.org/10.1145/3087604.3087615.

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Koppenhagen, Ulla, and Ernst W. Mayr. "An optimal algorithm for constructing the reduced Gröbner basis of binomial ideals." In the 1996 international symposium. ACM Press, 1996. http://dx.doi.org/10.1145/236869.236899.

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Aoyama, Toru. "An Algorithm for Computing Minimal Associated Primes of Binomial Ideals without Producing Redundant Components." In ISSAC '17: International Symposium on Symbolic and Algebraic Computation. ACM, 2017. http://dx.doi.org/10.1145/3087604.3087644.

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Seredenciuc, Nadia-Laura. "Certainty and Uncertainty in Education - A Contemporary Challenge for Teachers." In ATEE 2020 - Winter Conference. Teacher Education for Promoting Well-Being in School. LUMEN Publishing, 2021. http://dx.doi.org/10.18662/lumproc/atee2020/31.

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This study is a reflection on educational reality based on certainty and uncertainty coordinates. Exploring the significance of the binomial reality, generated by the different degrees of certainty, perceived by the actors involved in teaching, the article proposes a few acting options, in order to develop an appropriate orientation of the teacher training process, in a contemporary society marked by the “certainty of uncertainty”. Embracing the unknown, coping with unfamiliar situations, reflecting constructively on one’s own mistakes, as part of a teacher daily activity, are generated by a g
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