On the irreducibility of pseudovarieties of semigroups

MENESES GUIMARÄES DE ALMEIDA, Jorge Manuel and Ondřej KLÍMA. On the irreducibility of pseudovarieties of semigroups. Journal of Pure and Applied Algebra. AMSTERDAM: North Holland, 2016, vol. 220, No 4, p. 1517-1524. ISSN 0022-4049. Available from: https://dx.doi.org/10.1016/j.jpaa.2015.09.015.

Basic information

Original name

On the irreducibility of pseudovarieties of semigroups

Authors

MENESES GUIMARÄES DE ALMEIDA, Jorge Manuel (620 Portugal) and Ondřej KLÍMA (203 Czech Republic, guarantor, belonging to the institution)

Edition

Journal of Pure and Applied Algebra, AMSTERDAM, North Holland, 2016, 0022-4049

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.652

RIV identification code

RIV/00216224:14310/16:00087841

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.jpaa.2015.09.015

UT WoS

000366070600015

Keywords in English

Profinite semigroups; pseudovarieties; join irreducibility

Tags

AKR, rivok

Tags

International impact, Reviewed

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Abstract

V originále

We show that, for every pseudovariety of groups H, the pseudovariety H', consisting of all finite semigroups all of whose subgroups lie in H, is irreducible for join and the Mal'cev and semidirect products.

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Links

GA201/09/1313, research and development project	Name: Algebraické metody v teorii automatů a formálních jazyků II Investor: Czech Science Foundation, Algebraic Methods in Automata and Formal Language Theory II
MSM0021622409, plan (intention)	Name: Matematické struktury a jejich fyzikální aplikace Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications