Published January 1, 2017
| Version v1
Journal article
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Representability of actions in the category of (Pre)crossed modules in Leibniz algebras
Creators
- 1. Cankiri Karatekin Univ, Dept Risk Management & Insurance, Fac Econ & Adm Sci, Cankiri, Turkey
- 2. Aksaray Univ, Fac Art & Sci, Dept Math, Aksaray, Turkey
- 3. Osmangazi Univ, Art & Sci Fac, Dept Math & Comp Sci, Eskisehir, Turkey
Description
We investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat(1)-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat(1)-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module.
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