N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00066178" target="_blank" >RIV/00216224:14310/13:00066178 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac/" target="_blank" >http://www.tac.mta.ca/tac/</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS
Original language description
In this paper, we prove that the category of vacant n tuple groupoids is equivalent to the category of factorizations of groupoids by n factors that satisfy some Yang-Baxter type equation. Moreover we extend this equivalence to the category of maximallyexclusive n-tuple groupoids, which we define, by dropping one assumption. The paper concludes by a note on how these results could tell us more about some Lie groups of interest.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theory and Applications of Categories
ISSN
1201-561X
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
12
Country of publishing house
CA - CANADA
Number of pages
28
Pages from-to
304-331
UT code for WoS article
000321005300012
EID of the result in the Scopus database
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