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, vol. 220, No 4, p. 1517-1524. ISSN 0022-4049. doi:10.1016/j.jpaa.2015.09.015. 2016.

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.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Netherlands
• Confidentiality degree: is not subject to a state or trade secret
• WWW: 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

Abstract

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.

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