Monomial Ideals and Their Decompositions, 1st ed. 2018 Universitext Series
Auteurs : Moore W. Frank, Rogers Mark, Sather-Wagstaff Sean
-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.
Mark Rogers is a Professor in the Department of Mathematics at Missouri State University. He earned his PhD from Purdue University, and his area of research is commutative algebra.
Sean Sather-Wagstaff is an Associate Professor in Clemson University’s department of Mathematical Sciences. He earned his PhD from the University of Utah, specializing in homological commutative algebra.
Date de parution : 11-2018
Ouvrage de 387 p.
15.5x23.5 cm
Thème de Monomial Ideals and Their Decompositions :
Mots-clés :
Macaulay 2; combinatorial commutative algebra; irreducible decompositions; monomial ideals; polynomial rings; simplicial complexes; modifying monomial ideals; decompositions of monomial ideals; vertex covers; edge ideal construction of Villarreal; m-irreducible decompositions; parametric decompositions; algorithms; commutative algebra; Dickson’s Lemma; Stanley-Reisner ideals; Phasor Measurement Units; Cohen-Macaulayness; Hilbert functions