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The Koszul property
in affine semigroup rings
Jürgen Herzog, Vic Reiner and Volkmar Welker |
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Vol. 186 (1998), No. 1, 39–65
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Abstract |
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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, already considered by Fröberg. This more general definition of Koszulness turns out to be satisfied by all Cohen-Macaulay rings of minimal multiplicity. |
Milestones
Received: 17 April 1997
Revised: 20 August 1997
Published: 1 November 1998
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Authors |
| Jürgen Herzog | |
| Universität GH-Essen 45117 Essen, Germany |
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| Vic Reiner | |
| University of Minnesota Minneapolis, MN 55455 |
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| Volkmar Welker | |
| TU-Berlin 10623 Berlin, Germany |
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