Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions

Simple item page
dc.creatorMiller, Ezra
dc.date2001-10-09
dc.date.accessioned2026-07-07T04:43:44Z
dc.date.available2026-07-07T04:43:44Z
dc.descriptionEvery quotient R/I of a semigroup ring R by a radical monomial ideal I has a unique minimal injective-like resolution by direct sums of quotients of R modulo prime monomial ideals. The quotient R/I is Cohen-Macaulay if and only if every summand in cohomological degree $i$ has dimension exactly dim(R/I) - i. This Cohen-Macaulay characterization reduces to the Eagon-Reiner theorem by Alexander duality when R is a polynomial ring. The proof exploits a graded ring-theoretic generalization of the Zeeman spectral sequence, thereby also providing a combinatorial topological version for polyhedral cell complexes, involving no commutative algebra.
dc.description9 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0110096
dc.identifierhttp://arxiv.org/abs/math/0110096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62353
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.subjectCombinatorics
dc.subject13C14, 14M05, 13D02, 55Txx (primary) 14M25, 13F55 (secondary)
dc.titleCohen-Macaulay quotients of normal semigroup rings via irreducible resolutions
dc.typetext

Files

Collections

arXiv