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Crossed modules in the category of Loday QD-Rinehart algebras. (English) Zbl 1477.17013

Summary: In this paper we introduce the notion of Loday QD-Rinehart algebra as an abstraction of Loday QD-algebroids. Additionally, we study cohomology groups, derivations, abelian extensions and crossed modules of these algebraic structures and analyze the relationships between them.

MSC:

17A32 Leibniz algebras
18G45 2-groups, crossed modules, crossed complexes
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