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An illustrated view of differential operators of a reduced quotient of an affine semigroup ring
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
Through examples, we illustrate how to compute differential operators on a quotient of an affine semigroup ring by a radical monomial ideal, when working over an algebraically clos…
Non-Gorenstein loci of Ehrhart rings of chain and order polytopes
Mitsuhiro Miyazaki, Janet Page
Let be a finite poset, a field, and (resp. ) the order (resp. chain) polytope of . We study the non-Gorenstein locus of (resp. ), the…
Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings
Jürgen Herzog, Fatemeh Mohammadi, Janet Page
The trace of the canonical module of a Cohen-Macaulay ring describes its non-Gorenstein locus. We study the trace of the canonical module of a Segre product of algebras, and we app…
Symbolic and Ordinary Powers of Ideals in Hibi Rings
Janet Page, Daniel Smolkin, Kevin Tucker
We exhibit a class of Hibi rings which are diagonally F-regular over fields of positive characteristic, and diagonally -regular type over fields of characteristic zero, in the s…