On certain families of sparse numerical semigroups with Frobenius number even
Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 99-116
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This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we also study the realization of the elements on these families as Weierstrass semigroups.
Keywords:
Arf numerical semigroup, numerical semigroup, sparse numerical semigroup, Weierstrass semigroup, weight of numerical semigroup.
@article{ADM_2019_27_1_a10,
author = {Guilherme Tizziotti and Juan Villanueva},
title = {On certain families of sparse numerical semigroups with {Frobenius} number even},
journal = {Algebra and discrete mathematics},
pages = {99--116},
publisher = {mathdoc},
volume = {27},
number = {1},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a10/}
}
TY - JOUR AU - Guilherme Tizziotti AU - Juan Villanueva TI - On certain families of sparse numerical semigroups with Frobenius number even JO - Algebra and discrete mathematics PY - 2019 SP - 99 EP - 116 VL - 27 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a10/ LA - en ID - ADM_2019_27_1_a10 ER -
Guilherme Tizziotti; Juan Villanueva. On certain families of sparse numerical semigroups with Frobenius number even. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 99-116. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a10/