Numerical semigroups bounded by the translation of a plane monoid
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URI: http://hdl.handle.net/10498/25344
DOI: 10.1007/s00010-021-00837-3
ISSN: 0001-9054
ISSN: 1420-8903 (internet)
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2021-08Department
MatemáticasSource
Aequat. Math. (2021)Abstract
Let N be the set of nonnegative integer numbers. A plane monoid is a submonoid of (N-2, +). Let M be a plane monoid and p, q is an element of N. We will say that an integer number n is M(p, q)- bounded if there is (a, b) is an element of M such that a + p <= n <= b - q. We will denote by A(M(p, q)) = {n is an element of N | n is M(p, q)-bounded}. An A( p, q)-semigroup is a numerical semigroup S such that S = A(M(p, q)) boolean OR {0} for some plane monoid M. In this work we will study these kinds of numerical semigroups.
Subjects
Numerical semigroup; A-Semigroup; A (p, q)-semigroup; A (p, q)-monoid; ACsemigroup; Plane monoid; Cyclic monoid; Frobenius pseudo-variety; Frobenius number; Genus; MultiplicityCollections
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