The Koszul Property In Affine Semigroup Rings (1997)
by
Jürgen Herzog
,
Vic Reiner
,
Volkmar Welker
| Venue: | Pacific J. Math |
| Citations: | 14 - 3 self |
BibTeX
@ARTICLE{Herzog97thekoszul,
author = {Jürgen Herzog and Vic Reiner and Volkmar Welker},
title = {The Koszul Property In Affine Semigroup Rings},
journal = {Pacific J. Math},
year = {1997},
volume = {186},
pages = {186}
}
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Abstract
We investigate the Koszul property for quotients of affine semigroup rings by semigroup ideals. Using a combinatorial and topological interpretation for the Koszul property in this context, we recover known results asserting that certain of these rings are Koszul. In the process, we prove a stronger fact, suggesting a more general definition of Koszul rings. This more general definition of Koszulness turns out to be satisfied by all Cohen-Macaulay rings of minimal multiplicity.
