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Titlebook: Combinatorics and Commutative Algebra; Richard P. Stanley Textbook 1996Latest edition Birkh?user Boston 1996 Combinatorics.cls.commutative

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發(fā)表于 2025-3-21 19:41:23 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Combinatorics and Commutative Algebra
編輯Richard P. Stanley
視頻videohttp://file.papertrans.cn/231/230040/230040.mp4
概述Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra.The theory of invariants of a torus acting linearly on a polynomial ring.The face r
叢書名稱Progress in Mathematics
圖書封面Titlebook: Combinatorics and Commutative Algebra;  Richard P. Stanley Textbook 1996Latest edition Birkh?user Boston 1996 Combinatorics.cls.commutative
描述.Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares), the volume of polytopes, combinatorial reciprocity theorems, and related results. The second topic deals with the face ring of a simplicial complex, and includes a proof of the Upper Bound Conjecture for Spheres. An introductory chapter giving background information in algebra, combinatorics and topology broadens access to this material for non-specialists...New to this edition is a chapter surveying more recent work related to face rings, focusing on applications to f-vectors..
出版日期Textbook 1996Latest edition
關(guān)鍵詞Combinatorics; cls; commutative algebra; matroid; topology
版次2
doihttps://doi.org/10.1007/b139094
isbn_softcover978-0-8176-4369-0
isbn_ebook978-0-8176-4433-8Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkh?user Boston 1996
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:21:35 | 只看該作者
Nonnegative Integral Solutions to Linear Equations,ich goes back to MacMahon. Let .(.) := number of . × . ?-matrices having line sums ., where a line is a row or column, and an ?-matrix is a matrix whose entries belong to ?. Such a matrix is called an . or .. Keeping . fixed, one finds that .(0) = 1, .(1) = .!, and Anand, Dumir and Gupta [5] showed
板凳
發(fā)表于 2025-3-22 03:11:45 | 只看該作者
Nonnegative Integral Solutions to Linear Equations,that . See also Stanley [154, Ex. 6.11]. Keeping . fixed, one finds that .(.) 1,.(.) = . + 1, and MacMahon [119, Sect. 407] showed that . Guided by this evidence Anand, Dumir and Gupta [5] formulated the following
地板
發(fā)表于 2025-3-22 05:19:50 | 只看該作者
5#
發(fā)表于 2025-3-22 10:24:22 | 只看該作者
Textbook 1996Latest editionackground information in algebra, combinatorics and topology broadens access to this material for non-specialists...New to this edition is a chapter surveying more recent work related to face rings, focusing on applications to f-vectors..
6#
發(fā)表于 2025-3-22 13:54:11 | 只看該作者
7#
發(fā)表于 2025-3-22 20:25:16 | 只看該作者
Realizing End-to-End Supply Chain Finance,that . See also Stanley [154, Ex. 6.11]. Keeping . fixed, one finds that .(.) 1,.(.) = . + 1, and MacMahon [119, Sect. 407] showed that . Guided by this evidence Anand, Dumir and Gupta [5] formulated the following
8#
發(fā)表于 2025-3-23 00:20:42 | 只看該作者
9#
發(fā)表于 2025-3-23 02:27:39 | 只看該作者
978-0-8176-4369-0Birkh?user Boston 1996
10#
發(fā)表于 2025-3-23 05:57:28 | 只看該作者
Richard P. StanleyStanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra.The theory of invariants of a torus acting linearly on a polynomial ring.The face r
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