The Koszul property in affine semigroup rings

DOI10.2140/pjm.1998.186.39zbMath0937.20041OpenAlexW2057220004MaRDI QIDQ1306224

Volkmar Welker, Jürgen Herzog, Victor Reiner

Publication date: 11 October 1999

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1998.186.39

zbMATH Keywords

Poincaré seriesCohen-Macaulay ringsKoszul algebrasaffine semigroup ringsrelative homology of order complexes

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Semigroup rings, multiplicative semigroups of rings (20M25) Cohen-Macaulay modules (13C14)

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