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Monomial Ideals and Their Decompositions

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate studen...

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Bibliographic Details
Main Authors: Moore, W. Frank, Rogers, Mark (Author), Sather-Wagstaff, Sean (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Universitext
Subjects:
Computer Science—mathematics
Associative Rings And Algebras
Algebraic Geometry
Symbolic And Algebraic Manipulation
Commutative Algebra
Homological Algebra
Rings (algebra)
Commutative Rings And Algebras
Algebraic Topology
Commutative Rings
Associative Rings
Category Theory, Homological Algebra
Category Theory (mathematics)
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • -Introduction
  • 1. Fundamental Properties of Monomial Ideals . -2. Operations on Monomial Ideals
  • 3. M-Irreducible Ideals and Decompositions
  • 4. Connections with Combinatorics
  • 5. Connections with Other Areas. -6. Parametric Decompositions of Monomial Ideals
  • 7. Computing M-Irreducible Decompositions
  • Appendix A. Foundational Concepts
  • Appendix B. Introduction to Macaulay2
  • Bibliography
  • Index.

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