On algebras whose congruences have a class that is a subunivere

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633207" target="_blank" >RIV/61989592:15310/25:73633207 - isvavai.cz</a>
Result on the web
<a href="http://mat76.mat.uni-miskolc.hu/mnotes/download_article/4526.pdf" target="_blank" >http://mat76.mat.uni-miskolc.hu/mnotes/download_article/4526.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18514/MMN.2025.4526" target="_blank" >10.18514/MMN.2025.4526</a>

Result language
angličtina
Original language name
On algebras whose congruences have a class that is a subunivere
Original language description
We study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of a congruence. In particular, we investigate Rees algebras, pseudo-Rees algebras and algebras having the one-block property. Many examples are included. At the end, we will also deal with quotient algebras.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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