2010
DOI: 10.1016/j.jalgebra.2010.02.023
|View full text |Cite
|
Sign up to set email alerts
|

Ideals of proportionally modular numerical semigroups

Abstract: A numerical semigroup S is an IPM-semigroup if there exists an ideal I of a proportionally modular numerical semigroup such that S = I ∪ {0}. Let S and S be numerical semigroups such that S ⊆ S . We say that S is an ideal extension of S if S \ {0} is an ideal of S . Clearly a numerical semigroup is an IPM-semigroup if and only if it admits an ideal extension that is a proportionally modular numerical semigroup. In this paper we characterize all the ideal extensions of an arbitrary numerical semigroup. We also … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 9 publications
(11 reference statements)
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?