RT journal article
T1 Proportionally modular affine semigroups
A1 García García, Juan Ignacio
A1 Moreno Frías, María Ángeles
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 Affine semigroup
K1 Buchsbaum ring
K1 Cohen–Macaulay ring
K1 Frobenius vector
K1 Gorenstein ring
K1 modular Diophantine inequalities
K1 numerical monoid
K1 numerical semigroup
AB This work introduces a new kind of semigroup of Np called proportionally modular affinesemigroup. These semigroups are defined by modular Diophantine inequalities and theyare a generalization of proportionally modular numerical semigroups. We give an algorithmto compute their minimal generating sets, and we specialize when p = 2. For thiscase, 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 arecharacterized.
PB World Scientific
SN 0219-4988
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35365
UL http://hdl.handle.net/10498/35365
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026