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Coefficient Rings of Numerical Semigroup Algebras
Published 20 Jul 2021 in math.AC | (2107.09658v1)
Abstract: Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of a flat numerical semigroup algebra. In this paper, we show that arithmetic and set-theoretic properties of a numerical semigroup ring are properties of an equi-gcd numerical semigroup algebra.
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