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Monomial ideals

By: Contributor(s): Material type: TextTextLanguage: English Series: Graduate texts in mathematics ; 260Publication details: London; Springer-verlag, 2011.Description: xvi, 305pISBN:
  • 978-1447125945
  • 1447125940
Subject(s): DDC classification:
  • 512 HER-M
Summary: This book presents current developments in combinatorial and computational commutative algebra with a primary focus on monomial ideals. It introduces Gröbner bases and generic initial ideals, develops Hilbert functions and free resolutions, discusses the Kruskal-Katona theorem and Alexander duality, and examines combinatorial applications including edge ideals of finite graphs, powers of ideals, algebraic shifting, and discrete polymatroids.
Item type: Books and Monographs
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Item type Current library Home library Call number Materials specified Status Date due Barcode
Books and Monographs Central Library, NIT Jalandhar General Stacks Central Library, NIT Jalandhar 512 HER-M (Browse shelf(Opens below)) Available 101113

This book presents current developments in combinatorial and computational commutative algebra with a primary focus on monomial ideals. It introduces Gröbner bases and generic initial ideals, develops Hilbert functions and free resolutions, discusses the Kruskal-Katona theorem and Alexander duality, and examines combinatorial applications including edge ideals of finite graphs, powers of ideals, algebraic shifting, and discrete polymatroids.

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