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http://dx.doi.org/10.11568/kjm.2018.26.3.439

DERIVED CROSSED MODULES  

Sahan, Tuncar (Department of Mathematics Aksaray University)
Publication Information
Korean Journal of Mathematics / v.26, no.3, 2018 , pp. 439-458 More about this Journal
Abstract
In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category C of groups with operations using the categorical equivalence between the categories of crossed modules and of internal categories in C. Further, we characterize the derivations of crossed modules in a category C and obtain new crossed modules using regular derivations of old one.
Keywords
Homotopy; crossed module; internal category; group with operations;
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