A wreath product decomposition of E-solid locally inverse semigroups
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A wreath product decomposition of E-solid locally inverse semigroups
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Algebra
ISSN
0092-7872
e-ISSN
1532-4125
Volume of the periodical
53
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
826-841
UT code for WoS article
001294835900001
EID of the result in the Scopus database
2-s2.0-85201579059