N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS

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.

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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Canada

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

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Abstract

V originále

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.

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Links

GBP201/12/G028, research and development project

Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku Investor: Czech Science Foundation