2 citations · 5 across the 16 of their papers we have counts for
12 papers · 1 filter
A note on strong affine semigroups
I. García-Marco, R. Tapia-Ramos, A. Vigneron-Tenorio
This work introduces and studies strong affine semigroups, extending the notion of strong numerical semigroups to the higher-dimensional setting. We show that non-numerical strong…
On some affine semigroups characterized by a finite-state automata
J. I. Farrán, J. C. Rosales, R. Tapia-Ramos +1
This work introduces a new kind of affine semigroups called -semigroups. Within the framework of -semigroups, we define a finite-state automaton associated to them.…
Affine semigroups without consecutive small elements
J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio
An -semigroup is a numerical semigroup without consecutive small elements. This work generalizes this concept to finite-complement submonoids of an affine cone $\mathc…
A computational approach to the study of finite-complement submonids of an affine cone
J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio
Let be an integer cone. A -semigroup is an affine semigroup such that the set is…
On ideals of affine semigroups and affine semigroups with maximal embedding dimension
J. I. García-García, R. Tapia-Ramos, A. Vigneron-Tenorio
Let be a semigroup, any is an ideal of if , and an -semigroup is the affine semigroup , with an i…
On the quotient of affine semigroups by a positive integer
J. I. García-García, R. Tapia-Ramos, A. Vigneron-Tenorio
This work delves into the {\it quotient of an affine semigroup by a positive integer}, exploring its intricate properties and broader implications. We unveil an {\it associated tre…