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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Hlavní autor: Moore, W. Frank (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Universitext,
Témata:
Commutative algebra.
Commutative rings.
Computer science-Mathematics.
Associative rings.
Rings (Algebra).
Category theory (Mathematics).
Homological algebra.
Algebraic topology.
Algebraic geometry.
ISBN:9783319968766
ISSN:0172-5939
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Obsah:
  • -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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