On the depth of simplicial affine semigroup rings

2023/07/31 by Jafari, Raheleh, Ojeda, Ignacio
#13C15 #13F65 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2307.16501

Abstract

We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional cases which are closely related to the existence of a maximal element in certain Apery sets.

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