2024-03-28T15:12:21Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/359692021-06-24T07:40:54Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
2019-05-08T06:52:45Z
urn:hdl:10324/35969
Proportionally modular affine semigroups
García García, J. Ignacio
Moreno Frías, María Ángeles
Vigneron Tenorio, Alberto
Producción Científica
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. We also specialize on the case p = 2. For this
case, we 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.
2019-05-08T06:52:45Z
2019-05-08T06:52:45Z
2018
info:eu-repo/semantics/article
Journal of Algebra and Its Applications, 2018, vol. 17, n. 1. 7 p.
1793-6829
http://uvadoc.uva.es/handle/10324/35969
https://doi.org/10.1142/S0219498818500172
eng
https://www.worldscientific.com/doi/abs/10.1142/S0219498818500172
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2018 World Scientific
Attribution-NonCommercial-NoDerivatives 4.0 International
World Scientific