Let C⊂ N p be an integer polyhedral cone. An affine semigroup S⊂ C is a C-semigroup if|
C∖ S|<+∞. This structure has always been studied using a monomial order. The main issue …

Numerical semigroups have been extensively studied throughout the literature, and many of
their invariants have been characterized. In this work, we generalize some of the most …

A submonoid of N d is of maximal projective dimension (MPD) if the associated affine
semigroup ring has the maximum possible projective dimension. Such submonoids have a …

Let $ S $ and $\mathcal {C} $ be affine semigroups in $\mathbb {N}^ d $ such that $
S\subseteq\mathcal {C} $. We provide a characterization for the set $\mathcal {C}\setminus S …

In our earlier article (Can and Sakran in Port Math 81 (1–2): 21–55, 2024) we initiated a
study of the complement-finite submonoids of the group of integer points of a unipotent …

Let $\mathcal {C} $ be a positive integer cone and $ k\in\mathcal {C} $. A $\mathcal {C} $-
semigroup $ S $ is $ k $-positioned if for every $ h\in\mathcal {C}\setminus S $ we have that …

Let $ S\subseteq\mathbb N^ p $ be a semigroup, any $ P\subseteq S $ is an ideal of $ S $ if
$ P+ S\subseteq P $, and an $ I (S) $-semigroup is the affine semigroup $ P\cup\{0\} $, with …

This paper studies the p-Frobenius vector of affine semigroups S⊂ N q. Defined with respect
to a graded monomial order, the p-Frobenius vector represents the maximum element with …

Let $ C\subset\mathbb {N}^ p $ be an integer polyhedral cone. An affine semigroup $
S\subset C $ is a $ C $-semigroup if $| C\setminus S|<+\infty $. This structure has always …

Numerical semigroups have been extensively studied throughout the literature, and many of
their invariants have been characterized. In this work, we generalize some of the most …