Taylor's Modularity Conjecture and Related Problems for Idempotent Varieties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383440" target="_blank" >RIV/00216208:11320/18:10383440 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11083-017-9441-4" target="_blank" >https://doi.org/10.1007/s11083-017-9441-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11083-017-9441-4" target="_blank" >10.1007/s11083-017-9441-4</a>

Result language
angličtina
Original language name
Taylor's Modularity Conjecture and Related Problems for Idempotent Varieties
Original language description
We provide a partial result on Taylor's modularity conjecture, and several related problems. Namely, we show that the interpretability join of two idempotent varieties that are not congruence modular is not congruence modular either, and we prove an analog for idempotent varieties with a cube term. Also, similar results are proved for linear varieties and the properties of congruence modularity, having a cube term, congruence n-permutability for a fixed n, and satisfying a non-trivial congruence identity.
Czech name
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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/GA13-01832S" target="_blank" >GA13-01832S: General algebra and its connections to computer science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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