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...
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2018, 2018
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Edition: | 1st ed. 2018 |
Series: | Universitext
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Subjects: | |
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.