D-compatible semigroup varieties / Pastijn F,Volkov MV // JOURNAL OF ALGEBRA. - 2006. - V. 299, l. 1. - P. 62-93.

ISSN/EISSN:

0021-8693 / нет данных

Type:

Article

Abstract:

The D-compatible semigroup, varieties will be characterized and described. It is found that a semigroup variety is D-compatible if and only if it is J-compatible. It is shown that a periodic semigroup variety contains at most six maximal D-compatible subvarieties and every D-compatible subvariety is contained in one of these maximal ones. The semigroup varieties which are minimal for not being D-compatible are found: they are all periodic and countably infinite in number. There are six distinct maximal D-compatible pseudovarieties of semigroups. The semigroup varieties and pseudovarieties which are compatible for each of the Green relations are characterized and described. Analogues for varieties and pseudovarieties of monoids are established. It is shown that if a D-compatible variety of monoids contains a nonabelian group, then it is periodic and consists of completely regular monoids only. (c) 2006 Elsevier Inc. All rights reserved.

Author keywords:

нет данных

DOI:

10.1016/j.jalgebra.2006.02.033

Web of Science ID:

ISI:000237819900005

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAY 1
Publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
Address	525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	francisp@mscs.mu.edu mikhail.volkov@usu.ru
ResearcherID-Numbers	Volkov, Mikhail/F-1407-2014
ORCID-Numbers	Volkov, Mikhail/0000-0002-9327-243X
Number-of-Cited-References	6
Journal-ISO	J. Algebra
Doc-Delivery-Number	046OC