Limits in modified categories of interest
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Abstract:
We firstly prove the completeness of the category of crossed modules in a modified category of interest. Afterwards, we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows. These constructions unify many corresponding results for the cases of groups, commutative algebras and can also be adapted to various algebraic structures.
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Journal title
volume 43 issue 7
pages 2617- 2634
publication date 2017-12-30
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