Zobrazeno 1 - 10
of 478
pro vyhledávání: '"Frobenius number"'
A numerical semigroup $S$ is coated with odd elements (Coe-semigroup), if $\left\{x-1, x+1\right\}\subseteq S$ for all odd element $x$ in $S$. In this note, we will study this kind of numerical semigroups. In particular, we are interested in the stud
Externí odkaz:
http://arxiv.org/abs/2407.17153
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 3, Pp 439-454 (2024)
Let $\Delta$ be a numerical semigroup. In this work we show that $\mathcal{J}(\Delta) =\{I\cup\nobreak\{0\} I is an ideal of \Delta\}$ is a distributive lattice, which in addition is a Frobenius restricted variety. We give an algorithm which allows u
Externí odkaz:
https://doaj.org/article/3e5fb4781e6f4d3c8ce9acbc41e6174d
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 3, Pp 286-293 (2024)
A subset Δ of non-negative integers [Formula: see text] is called a numerical semigroup if it is a submonoid of [Formula: see text] and has a finite complement in [Formula: see text]. A graph [Formula: see text] is called a [Formula: see text]-graph
Externí odkaz:
https://doaj.org/article/03671f2af19c416989cccdc74440cfac
Publikováno v:
Foundations, Vol 4, Iss 2, Pp 249-262 (2024)
In this work, we show that if F is a positive integer, then Sat(F)={S∣S is a saturated numerical semigroup with Frobenius number F} is a covariety. As a consequence, we present two algorithms: one that computes Sat(F), and another which computes al
Externí odkaz:
https://doaj.org/article/18f88bf4d8644631be561172f1a715ed
Autor:
Enguo Dai, Kaimin Cheng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 12, Pp 7195-7206 (2023)
Let $ S $ be a given finite set of positive and relatively prime integers. Denote $ L(S) $ to be the set of integers obtained by taking all nonnegative integer linear combinations of integers in $ S $. It is well known that there are finitely many po
Externí odkaz:
https://doaj.org/article/9e645c3c4f0a4465b89682646a132841
Autor:
Belgin Özer
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
In this paper, Arf numerical semigroups with high multiplicity are given. RF (Row Factorization)-matrices, Gröbner basis are presented by writing the ideals of numerical semigroup with RF-matrices. In addition, it is prove that if we have a minimal
Externí odkaz:
https://doaj.org/article/9303e951a02a469f9a6a17b8f451997b
Publikováno v:
Axioms, Vol 13, Iss 3, p 193 (2024)
In this work, we will introduce the concept of ratio-covariety, as a family R of numerical semigroups that has a minimum, denoted by min(R), is closed under intersection, and if S∈R and S≠min(R), then S\{r(S)}∈R, where r(S) denotes the ratio of
Externí odkaz:
https://doaj.org/article/8c1d1ac6d1ce4827a117fbd3b373d791
Akademický článek
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Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 1134-1144 (2021)
Weierstrass semigroups are well known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition, we provide methods for computing non-Weierstrass semigro
Externí odkaz:
https://doaj.org/article/996a99ba3dfb4089b4b60354b7809a68
Akademický článek
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