Cryptic semigroup varieties / Pastijn F,Volkov MV // SEMIGROUP FORUM. - 2006. - V. 72, l. 2. - P. 159-189.

ISSN/EISSN:

0037-1912 / нет данных

Type:

Article

Abstract:

We describe all minimal noncryptic periodic semigroup {[}monoid] varieties. We, prove that there are exactly three distinct maximal cryptic semigroup {[}monoid) varieties contained in the variety determined by x(n) approximate to x(n+m), n >= 2, m >= 2. Analogous results are obtained for pseudovarieties: there are exactly three maximal cryptic pseudovarieties of semigroups {[}monoids]. It is shown that if a cryptic variety or pseudovariety of monoids contains a nonabelian group, then it consists of bands of groups only. Several characterizations are given of the cryptic overcommutative semigroup {[}monoid] varieties.

Author keywords:

REGULAR-SEMIGROUPS; PSEUDOVARIETIES; CONGRUENCES

DOI:

10.1007/s00233-005-0550-9

Web of Science ID:

ISI:000236965700001

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	MAR-APR
Publisher	SPRINGER
Address	233 SPRING STREET, NEW YORK, NY 10013 USA
Language	English
Keywords-Plus	REGULAR-SEMIGROUPS; PSEUDOVARIETIES; CONGRUENCES
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	15
Journal-ISO	Semigr. Forum
Doc-Delivery-Number	034YB