@misc{10498/36030,
year = {2024},
url = {http://hdl.handle.net/10498/36030},
abstract = {This work delves into the quotient of an affine semigroup by a positive integer, exploring its intricate properties and broader implications. We unveil an associated tree that serves as a valuable tool for further analysis. Moreover, we successfully generalize several key irreducibility results, extending their applicability to the more general class of C-semigroup quotients. To shed light on these concepts, we introduce the novel notion of an arithmetic variety of affine semigroups, accompanied by illuminating examples that showcase its power.},
publisher = {Springer-Verlag Italia s.r.l.},
keywords = {Affine semigroup},
keywords = {Arithmetic variety},
keywords = {C-semigroup},
keywords = {Frobenius element},
keywords = {Irreducibility},
keywords = {Quotient by a positive integer},
keywords = {Rooted tree},
title = {On the quotient of affine semigroups by a positive integer},
doi = {10.1007/S11587-024-00915-Z},
author = {García García, Juan Ignacio and Tapia Ramos, Raquel and Vigneron Tenorio, Alberto},
}