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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Takahasi semigroups

Participants in the publication
Mário J. J. Branco (Author)
Dep. Matemática
CEMAT-Ciências - Centro de Matemática Computacional e Estocástica-Ciências
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT-Ciências - Centro de Matemática Computacional e Estocástica-Ciências
Pedro V. Silva (Author)

Scope
International

Refereeing
Yes

Summary
Takahasi’s Theorem on chains of subgroups of bounded rank in a free group is generalized to severalclasses of semigroups. As an application, it is proved that the subsemigroups of periodic points are finitelygenerated and periodic orbits are bounded for arbitrary endomorphisms for various semigroups. Some ofthese results feature classes such as completely simple semigroups, Clifford semigroups or monoids definedby balanced one-relator presentations.

Date of Submisson/Request
2015-03-31
Date of Publication
2017-01-01

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Forum Mathematicum

Publication Identifiers
ISSN - 0933-7741

Publisher
Walter de Gruyter GmbH

Volume
29
Number
5

Number of pages
17
Starting page
1145
Last page
1161

Document Identifiers
URL - http://dx.doi.org/10.1515/forum-2015-0059
DOI - https://doi.org/10.1515/forum-2015-0059

Rankings
SCIMAGO Q1 (2017) - 0.966 - Mathematics (miscellaneous)


Export

APA
Mário J. J. Branco, Gracinda M. S. Gomes, Pedro V. Silva, (2017). Takahasi semigroups. Forum Mathematicum, 29, 1145-1161. ISSN 0933-7741. eISSN . http://dx.doi.org/10.1515/forum-2015-0059

IEEE
Mário J. J. Branco, Gracinda M. S. Gomes, Pedro V. Silva, "Takahasi semigroups" in Forum Mathematicum, vol. 29, pp. 1145-1161, 2017. 10.1515/forum-2015-0059

BIBTEX
@article{36295, author = {Mário J. J. Branco and Gracinda M. S. Gomes and Pedro V. Silva}, title = {Takahasi semigroups}, journal = {Forum Mathematicum}, year = 2017, pages = {1145-1161}, volume = 29 }