RT info:eu-repo/semantics/article
T1 Proportionally modular affine semigroups
A1 García García, J. Ignacio
A1 Moreno Frías, María Ángeles
A1 Vigneron Tenorio, Alberto
K1 Affine numerical semigroups
K1 Semigrupos numéricos afines
K1 Buchsbaum ring
K1 Anillo de Buchsbaum
K1 Cohen-Macaulay ring
K1 Anillo de Cohen-Macaulay
K1 Gorenstein ring
K1 Anillo de Gorenstein
K1 Numerical monoid
K1 Monoide numérico
AB This work introduces a new kind of semigroup of Np called proportionally modular affine semigroup. These semigroups are defined by modularDiophantine inequalities and they are a generalization of proportionallymodular numerical semigroups. We give an algorithm to compute theirminimal generating sets. We also specialize on the case p = 2. For thiscase, we provide a faster algorithm to compute their minimal system ofgenerators, prove they are Cohen-Macaulay and Buchsbaum, and determinate their (minimal) Frobenius vectors. Besides, Gorenstein proportionally modular affine semigroups are characterized.
PB World Scientific
SN 1793-6829
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/35969
UL http://uvadoc.uva.es/handle/10324/35969
LA eng
NO Journal of Algebra and Its Applications, 2018, vol. 17, n. 1. 7 p.
NO Producción Científica
DS UVaDOC
RD 30-abr-2024