Numerical semigroups bounded by a cyclic monoid

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URI: http://hdl.handle.net/10498/25888

DOI: 10.7153/jmi-2021-15-81

ISSN: 1846-579X

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Author/s
Moreno Frías, María ÁngelesAuthority UCA; Rosales, José Carlos
Date
2021-09
Department
Matemáticas
Source
Journal of Mathematical Inequalities Volume 15, Number 3 (2021), 1219–1231
Abstract
We will say that a numerical semigroup S is bounded by a cyclic monoid if there exist integer numbers 0 <= alpha < ss such that S = {x epsilon N vertical bar k alpha < x < k beta for some k epsilon N} boolean OR {0}. The goal of this work is to study this kind of numerical semigroups. In particular, we will determine important invariants of them such as multiplicity, embedding dimension, Frobenius number and genus.
Subjects
AC -semigroup; cyclic monoid; diophantine inequality; embedding dimension; Frobenius number; genus; MED-semigroup; multiplicity; numerical semigroup; PM-semigroup
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