An upper bound for the power pseudovariety PCS

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00062631" target="_blank" >RIV/00216224:14310/12:00062631 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00605-011-0285-5" target="_blank" >http://dx.doi.org/10.1007/s00605-011-0285-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00605-011-0285-5" target="_blank" >10.1007/s00605-011-0285-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An upper bound for the power pseudovariety PCS

Popis výsledku v původním jazyce

It is a celebrated result in finite semigroup theory that the equality of pseudovarieties PG=BG holds, where PG is the pseudovariety of finite monoids generated by all power monoids of finite groups and BG is the pseudovariety of all block groups, that is, the pseudovariety of all finite monoids all of whose regular D-classes have the property that the corresponding principal factors are inverse semigroups. Moreover, it is well known that BG=JmG, where JmG is the pseudovariety of finite monoids generated by the Mal?cev product of the pseudovarieties J and G of all finite J-trivial monoids and of all finite groups, respectively. In this paper, a more general kind of finite semigroups is considered; namely, the so-called aggregates of block groups are introduced. It follows that the class AgBG of all aggregates of block groups forms a pseudovariety of finite semigroups.

Název v anglickém jazyce

An upper bound for the power pseudovariety PCS

Popis výsledku anglicky

It is a celebrated result in finite semigroup theory that the equality of pseudovarieties PG=BG holds, where PG is the pseudovariety of finite monoids generated by all power monoids of finite groups and BG is the pseudovariety of all block groups, that is, the pseudovariety of all finite monoids all of whose regular D-classes have the property that the corresponding principal factors are inverse semigroups. Moreover, it is well known that BG=JmG, where JmG is the pseudovariety of finite monoids generated by the Mal?cev product of the pseudovarieties J and G of all finite J-trivial monoids and of all finite groups, respectively. In this paper, a more general kind of finite semigroups is considered; namely, the so-called aggregates of block groups are introduced. It follows that the class AgBG of all aggregates of block groups forms a pseudovariety of finite semigroups.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Monatshefte für Mathematik

ISSN

0026-9255

e-ISSN

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Svazek periodika

166

Číslo periodika v rámci svazku

3-4

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

30

Strana od-do

411

Kód UT WoS článku

000304564700010

EID výsledku v databázi Scopus

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