The short resolution of a semigroup algebra
Abstract
This work generalizes the short resolution given in Proc. Amer. Math. Soc. 131, 4, (2003), 1081--1091, to any affine semigroup. Moreover, a characterization of Ap\'ery sets is given. This characterization lets compute Ap\'ery sets of affine semigroups and the Frobenius number of a numerical semigroup in a simple way. We also exhibit a new characterization of the Cohen-Macaulay property for simplicial affine semigroups.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.