On fixed points of the lower set operator

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00080942" target="_blank" >RIV/00216224:14310/15:00080942 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S021819671540010X" target="_blank" >http://dx.doi.org/10.1142/S021819671540010X</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S021819671540010X" target="_blank" >10.1142/S021819671540010X</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On fixed points of the lower set operator

Popis výsledku v původním jazyce

Lower subsets of an ordered semigroup form in a natural way an ordered semigroup. This lower set operator gives an analogue of the power operator already studied in semigroup theory. We present a complete description of the lower set operator applied tovarieties of ordered semigroups. We also obtain large families of fixed points for this operator applied to pseudovarieties of ordered semigroups, including all examples found in the literature. This is achieved by constructing six types of inequalitiesthat are preserved by the lower set operator. These types of inequalities are shown to be independent in a certain sense. Several applications are also presented, including the preservation of the period for a pseudovariety of ordered semigroups whose image under the lower set operator is proper.

Název v anglickém jazyce

On fixed points of the lower set operator

Popis výsledku anglicky

Lower subsets of an ordered semigroup form in a natural way an ordered semigroup. This lower set operator gives an analogue of the power operator already studied in semigroup theory. We present a complete description of the lower set operator applied tovarieties of ordered semigroups. We also obtain large families of fixed points for this operator applied to pseudovarieties of ordered semigroups, including all examples found in the literature. This is achieved by constructing six types of inequalitiesthat are preserved by the lower set operator. These types of inequalities are shown to be independent in a certain sense. Several applications are also presented, including the preservation of the period for a pseudovariety of ordered semigroups whose image under the lower set operator is proper.

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

<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

2015

Kód důvěrnosti údajů

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

Název periodika

International Journal of Algebra and Computation

ISSN

0218-1967

e-ISSN

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Svazek periodika

25

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

34

Strana od-do

259-292

Kód UT WoS článku

000351747900011

EID výsledku v databázi Scopus

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