Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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DERIVED CROSSED MODULES

  • Received : 2018.04.05
  • Accepted : 2018.08.13
  • Published : 2018.09.30
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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.

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References

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