On divisors of semigroups of order-preserving mappings of a finite chain / Fernandes V. H.,Volkov M. V. // SEMIGROUP FORUM. - 2010. - V. 81, l. 3. - P. 551-554.

ISSN/EISSN:

0037-1912 / нет данных

Type:

Article

Abstract:

We show that if a semigroup T divides a semigroup of full order preserving transformations of a finite chain, then so does any semidirect product Sa < ST where S is a finite semilattice whose natural order makes S a chain.

Author keywords:

Semigroup of order preserving transformations; Divisor; Semidirect product TRANSFORMATIONS; FULL; GAP

DOI:

10.1007/s00233-010-9257-7

Web of Science ID:

ISI:000283586800012

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Keywords-Plus	TRANSFORMATIONS; FULL; GAP
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	vhf@fct.unl.pt Mikhail.Volkov@usu.ru
ResearcherID-Numbers	Volkov, Mikhail/F-1407-2014 Fernandes, Vitor Hugo/M-9549-2013
ORCID-Numbers	Volkov, Mikhail/0000-0002-9327-243X Fernandes, Vitor Hugo/0000-0003-1057-4975
Funding-Acknowledgement	FCT {[}PTDC/MAT/69514/2006]; PIDDAC {[}PTDC/MAT/69514/2006]; Federal Education Agency of Russia {[}2.1.1/3537]; Russian Foundation for Basic Research {[}09-01-12142, 10-01-00524]
Funding-Text	The authors gratefully acknowledge support of FCT and PIDDAC, within the project PTDC/MAT/69514/2006 of CAUL. The second author acknowledges support from the Federal Education Agency of Russia, grant 2.1.1/3537, and from the Russian Foundation for Basic Research, grants 09-01-12142 and 10-01-00524.
Number-of-Cited-References	17
Usage-Count-Since-2013	3
Journal-ISO	Semigr. Forum
Doc-Delivery-Number	672MB