Rees quotients of numerical semigroups

• Type: Article in International Scientific Journal
• Date: 2013

Authors

delgado, m (Author) FCUP; fernandes, vh (Author) Other

Journal

Title: Portugaliae Mathematica

Vol. 70

Pages: 93-112

ISSN: 0032-5155

Publisher: European Mathematical Society Publishing House

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-006-FZK

DOI: 10.4171/pm/1927

Abstract (EN): We introduce a class of finite semigroups obtained by considering Rees quotients of numerical semigroups. Several natural questions concerning this class, as well as particular subclasses obtained by considering some special ideals, are answered while others remain open. We exhibit nice presentations for these semigroups and prove that the Rees quotients by ideals of N, the positive integers under addition, constitute a set of generators for the pseudovariety of commutative and nilpotent semigroups.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20