Unary enhancements of inherently non-finitely based semigroups / Auinger K.,Dolinka I.,Pervukhina T. V.,Volkov M. V. // SEMIGROUP FORUM. - 2014. - V. 89, l. 1. - P. 41-51.

ISSN/EISSN:

0037-1912 / 1432-2137

Type:

Article

Abstract:

This paper is a follow up of an article published in 2012 by three of the authors, more precisely, of a part of that article dealing with inherently nonfinitely based involutory semigroups. We exhibit a simple condition under which a finite involutory semigroup whose semigroup reduct is inherently nonfinitely based is also inherently nonfinitely based as a unary semigroup. As applications, we get already known as well as new examples of inherently nonfinitely based involutory semigroups. We also show that for finite regular semigroups, our condition is not only sufficient but also necessary for the property of being inherently nonfinitely based to persist. This leads to an algorithmic description of regular inherently nonfinitely based involutory semigroups.

Author keywords:

Involutory semigroup; Inherently nonfinitely based semigroup; Twisted semilattice; Twisted Brandt monoid; Regular semigroup; Matrix semigroup

DOI:

10.1007/s00233-013-9509-4

Web of Science ID:

ISI:000340870800003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	AUG
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
EISSN	1432-2137
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	karl.auinger@univie.ac.at dockie@dmi.uns.ac.rs cristofory@gmail.com mikhail.volkov@usu.ru
ResearcherID-Numbers	Volkov, Mikhail/F-1407-2014
ORCID-Numbers	Volkov, Mikhail/0000-0002-9327-243X Dolinka, Igor/0000-0002-8644-0626
Number-of-Cited-References	16
Usage-Count-Since-2013	2
Journal-ISO	Semigr. Forum
Doc-Delivery-Number	AN8RD