Semidirect products in universal algebra
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509777" target="_blank" >RIV/00216208:11320/25:10509777 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/conm/826/16575" target="_blank" >https://doi.org/10.1090/conm/826/16575</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/conm/826/16575" target="_blank" >10.1090/conm/826/16575</a>
Alternative languages
Result language
angličtina
Original language name
Semidirect products in universal algebra
Original language description
First of all, we recall the well known notion of semidirect productboth for classical algebraic structures (like groups and rings) and for morerecent ones (digroups, left skew braces, heaps, trusses). Then we analyse theconcept of semidirect product for an arbitrary algebra A in a variety of giventype. An inner semidirect decomposition A = B ω of A consists of a subalgebra B of A and a congruence ω on A such that B is a set of representativesof the congruence classes of A modulo ω. An outer semidirect product is therestriction to B of a functor from a suitable category CB containing
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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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
Book/collection name
Contemporary Mathematics 826
ISBN
978-1-4704-7763-9
Number of pages of the result
22
Pages from-to
103-124
Number of pages of the book
441
Publisher name
American Mathematical Society
Place of publication
USA
UT code for WoS chapter
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