MAJARD, Dany. N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS. Theory and Applications of Categories. 2013, vol. 28, No 12, p. 304-331. ISSN 1201-561X.
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Basic information
Original name N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS
Authors MAJARD, Dany (250 France, guarantor, belonging to the institution).
Edition Theory and Applications of Categories, 2013, 1201-561X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Canada
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.254
RIV identification code RIV/00216224:14310/13:00066178
Organization unit Faculty of Science
UT WoS 000321005300012
Keywords in English n-tuple groupoids; factorization;
Tags AKR, rivok, ZR
Tags International impact, Reviewed
Changed by Changed by: Ing. Zdeňka Rašková, učo 140529. Changed: 28/4/2014 13:28.
Abstract
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 maximally exclusive 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.
Links
GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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