Monomial Ideals and Their Decompositions

• Κύριοι συγγραφείς: Moore, W. Frank (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Rogers, Mark (http://id.loc.gov/vocabulary/relators/aut), Sather-Wagstaff, Sean (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Universitext,
• Θέματα: Commutative algebra.; Commutative rings.; Computer science-Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Algebraic topology.; Algebraic geometry.; Commutative Rings and Algebras.; Symbolic and Algebraic Manipulation.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; Algebraic Topology.; Algebraic Geometry.

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...

Πίνακας περιεχομένων:

• -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. .