Pseudovarieties of Ordered Completely Regular Semigroups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108246" target="_blank" >RIV/00216224:14310/19:00108246 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00025-019-0998-7" target="_blank" >https://link.springer.com/article/10.1007/s00025-019-0998-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00025-019-0998-7" target="_blank" >10.1007/s00025-019-0998-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Pseudovarieties of Ordered Completely Regular Semigroups

Popis výsledku v původním jazyce

This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups.

Název v anglickém jazyce

Pseudovarieties of Ordered Completely Regular Semigroups

Popis výsledku anglicky

This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Centrum excelence - Institut teoretické informatiky (CE-ITI)</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

RESULTS IN MATHEMATICS

ISSN

1422-6383

e-ISSN

—

Svazek periodika

74

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

28

Strana od-do

1-28

Kód UT WoS článku

000461307200011

EID výsledku v databázi Scopus

2-s2.0-85062949234