4 papers
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…
Conductors of Abhyankar-Moh semigroups of even degrees
Evelia R. GarcÍa Barroso, Juan Ignacio GarcÍa-GarcÍa, Luis José Santana SÁnchez +1
In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved an important inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms…
Characterizing affine -semigroups
J. D. Díaz-Ramírez, J. I. García-García, D. Marín-Aragón +1
Let be a finitely generated integer cone and be an affine semigroup such that the real cones generated by and by…
On pseudo-Frobenius elements of submonoids of
J. I. García-García, I. Ojeda, J. C. Rosales +1
In this paper we study those submonoids of which a non-trivial pseudo-Frobenius set. In the affine case, we prove that they are the affine semigroups whose associate…