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25 Remote Warehouse Mathematics- Abstract Algebra

Graduate Texts in Mathematics #260: Monomial Ideals

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Graduate Texts in Mathematics #260: Monomial Ideals Cover

 

Synopses & Reviews

Synopsis:

This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. In the text, theory is complemented by a number of examples and exercises.

Table of Contents

Part I Gröbner bases: Monomial Ideals.- A short introduction to Gröbner bases.- Monomial orders and weights.- Generic initial ideals.- The exterior algebra.- Part II: Hilbert functions and resolutions.- Hilbert functions and the theorems of Macaulay and Kruskal-Katona.- Resolutions of monomial ideals and the Eliahou-Kervaire formula.- Alexander duality and resolutions.- Part III Combinatorics: Alexander duality and finite graphs.- Powers of monomial ideals.- Shifting theory.- Discrete Polymatroids.- Some homological algebra.- Geometry

Product Details

ISBN:
9781447125945
Author:
Herzog, J. Rgen
Publisher:
Springer
Author:
Hibi, Takayuki
Author:
Herzog, Jurgen
Author:
Herzog, J]rgen
Subject:
Algebra - Abstract
Subject:
Alexander duality
Subject:
Grbner basis
Subject:
Hilbert function
Subject:
algebraic shifting
Subject:
generic initial ideal
Subject:
graded Betti number
Subject:
minimal free resolution
Subject:
Simplicial Complex
Subject:
Commutative Rings and Algebras
Subject:
Mathematics-Abstract Algebra
Copyright:
Edition Description:
2011
Series:
Graduate Texts in Mathematics
Series Volume:
260
Publication Date:
20131231
Binding:
TRADE PAPER
Language:
English
Pages:
324
Dimensions:
235 x 155 mm 498 gr

Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
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Graduate Texts in Mathematics #260: Monomial Ideals New Trade Paper
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Product details 324 pages Springer - English 9781447125945 Reviews:
"Synopsis" by , This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. In the text, theory is complemented by a number of examples and exercises.
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