Carmelo Cisto

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math.AC2025

Buchsbaumness of finite complement simplicial affine semigroups

Om Prakash Bhardwaj, Carmelo Cisto

In this article, we classify all Buchsbaum simplicial affine semigroups whose complement in their (integer) rational polyhedral cone is finite. We show that such a semigroup is Buc…

math.AC2025

Symmetric generalized numerical semigroups in $N^{d}$ with embedding dimension $2 d + 1$

Om Prakash Bhardwaj, Carmelo Cisto

In this article, we classify all symmetric generalized numerical semigroups in $N^{d}$ of embedding dimension $2 d + 1$ . Consequently, we show that in this case the property of…

math.AC2025

On unboundedness of some invariants of $C$ -semigroups

Om Prakash Bhardwaj, Carmelo Cisto

In this article, we first prove that the type of an affine semigroup ring is equal to the number of maximal elements of the ApÃ©ry set with respect to the set of exponents of the m…

Buchsbaumness of finite complement simplicial affine semigroups

Symmetric generalized numerical semigroups in Nd with embedding dimension 2d+1

On unboundedness of some invariants of C-semigroups

Symmetric generalized numerical semigroups in $N^{d}$ with embedding dimension $2 d + 1$

On unboundedness of some invariants of $C$ -semigroups