Monomial Ideals and Their Decompositions

Monomial Ideals and Their Decompositions

Rogers, Mark; Moore, W. Frank; Sather-Wagstaff, Sean

Springer International Publishing AG

11/2018

387

Mole

Inglês

9783319968742

15 a 20 dias

629

Descrição não disponível.

-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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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