A wreath product decomposition of E-solid locally inverse semigroups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00140565" target="_blank" >RIV/00216224:14310/25:00140565 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2390638" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2390638</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/00927872.2024.2390638" target="_blank" >10.1080/00927872.2024.2390638</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A wreath product decomposition of E-solid locally inverse semigroups

Popis výsledku v původním jazyce

In this paper, a kind of restricted wreath product of an arbitrary band of groups by an arbitrary generalized inverse semigroup is introduced first. This wreath product turns out to be an E-solid semigroup, and if one comes out at the beginning with a normal band of groups, then it shows itself to be also a locally inverse semigroup. Then it is proved that every E-solid locally inverse semigroup S can be embedded in such a restricted wreath product of a normal band of groups Q by a generalized inverse semigroup K. Here K can be taken to be the greatest orthodox semigroup homomorphic image of S and Q can be taken to be the preimage of the band of idempotents of K under the canonical homomorphism of S onto its quotient K. In this way, the given E-solid locally inverse semigroup S decomposes into a restricted wreath product of its components Q and K whose structure derives directly from that of S.

Název v anglickém jazyce

A wreath product decomposition of E-solid locally inverse semigroups

Popis výsledku anglicky

In this paper, a kind of restricted wreath product of an arbitrary band of groups by an arbitrary generalized inverse semigroup is introduced first. This wreath product turns out to be an E-solid semigroup, and if one comes out at the beginning with a normal band of groups, then it shows itself to be also a locally inverse semigroup. Then it is proved that every E-solid locally inverse semigroup S can be embedded in such a restricted wreath product of a normal band of groups Q by a generalized inverse semigroup K. Here K can be taken to be the greatest orthodox semigroup homomorphic image of S and Q can be taken to be the preimage of the band of idempotents of K under the canonical homomorphism of S onto its quotient K. In this way, the given E-solid locally inverse semigroup S decomposes into a restricted wreath product of its components Q and K whose structure derives directly from that of S.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Communications in Algebra

ISSN

0092-7872

e-ISSN

1532-4125

Svazek periodika

53

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

826-841

Kód UT WoS článku

001294835900001

EID výsledku v databázi Scopus

2-s2.0-85201579059