Free resolutions of lex-ideals over a Koszul toric ring

DOI10.1090/S0002-9947-2010-05074-3zbMath1219.13008MaRDI QIDQ3082377

Satoshi Murai

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

free resolutionsKoszul algebrasBetti numbersHilbert functionsmonomial idealscomponentwise linear idealstoric ringsdegree lexicographic orderlex-ideals

Mathematics Subject Classification ID

Extremal set theory (05D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Seminormal rings (13F45) Quadratic and Koszul algebras (16S37) Combinatorial aspects of commutative algebra (05E40)

Related Items

Notes on the linearity defect and applications ⋮ ExteriorIdeals: a package for computing monomial ideals in an exterior algebra

Uses Software

• Macaulay2

Cites Work

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