@misc{10498/35365,
year = {2017},
url = {http://hdl.handle.net/10498/35365},
abstract = {This work introduces a new kind of semigroup of Np called proportionally modular affine
semigroup. These semigroups are defined by modular Diophantine inequalities and they
are a generalization of proportionally modular numerical semigroups. We give an algorithm
to compute their minimal generating sets, and we specialize when p = 2. For this
case, we also provide a faster algorithm to compute their minimal system of generators,
prove they are Cohen–Macaulay and Buchsbaum, and determinate their (minimal)
Frobenius vectors. Besides, Gorenstein proportionally modular affine semigroups are
characterized.},
publisher = {World Scientific},
keywords = {Affine semigroup},
keywords = {Buchsbaum ring},
keywords = {Cohen–Macaulay ring},
keywords = {Frobenius vector},
keywords = {Gorenstein ring},
keywords = {modular Diophantine inequalities},
keywords = {numerical monoid},
keywords = {numerical semigroup},
title = {Proportionally modular affine semigroups},
doi = {10.1142/S0219498818500172},
author = {García García, Juan Ignacio and Moreno Frías, María Ángeles and Vigneron Tenorio, Alberto},
}