Open AccessGeneralized crossed modules and group-groupoids
Author(s) -
Mustafa Habil Gürsoy,
Hatice Aslan,
İlhan Içen
Publication year - 2017
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1602-63
Subject(s) - mathematics , group (periodic table) , abelian group , pure mathematics , object (grammar) , algebra over a field , linguistics , chemistry , organic chemistry , philosophy
In this present work, we present the concept of a crossed module over generalized groups and we call it a “generalized crossed module”. We also define a generalized group-groupoid. Furthermore, we show that the category of generalized crossed modules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.
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