Casas, J. M.; Çetin, Selim; Uslu, E. Ö. Crossed modules in the category of Loday QD-Rinehart algebras. (English) Zbl 1477.17013 Homology Homotopy Appl. 22, No. 2, 347-366 (2020). 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 Keywords:Loday QD-algebroid; Loday QD-Rinehart algebra; derivation; abelian extension; crossed module; cohomology PDFBibTeX XMLCite \textit{J. M. Casas} et al., Homology Homotopy Appl. 22, No. 2, 347--366 (2020; Zbl 1477.17013) Full Text: DOI