Takahasi semigroups

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Pedro V. Silva (Author) FCUP; Mário J. J. Branco (Author) Other; Gracinda M. S. Gomes (Author) Other

Journal

Title: Forum Mathematicum

Vol. 29 No. 5

Pages: 1145-1161

ISSN: 0933-7741

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 0 Citations

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Other information

Authenticus ID: P-00M-YTM

DOI: 10.1515/forum-2015-0059

Abstract (EN): Takahasi's Theorem on chains of subgroups of bounded rank in a free group is generalized to several classes of semigroups. As an application, it is proved that the subsemigroups of periodic points are finitely generated and periodic orbits are bounded for arbitrary endomorphisms for various semigroups. Some of these results feature classes such as completely simple semigroups, Clifford semigroups or monoids defined by balanced one-relator presentations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17