Geodesic
Crossed modules in the category of Loday QD-Rinehart algebras
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 347-366.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2020.v22.n2.a21
Classification : 17A32, 17D99, 18G60
Keywords: Loday QD-algebroid, Loday QD-Rinehart algebra, derivation, abelian extension, crossed module, cohomology 
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     title = {Crossed modules in the category of {Loday} {QD-Rinehart} algebras},
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     pages = {347--366},
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J. M. Casas; S. Çetin; E. Ö. Uslu. Crossed modules in the category of Loday QD-Rinehart algebras. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 347-366. doi : 10.4310/HHA.2020.v22.n2.a21. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a21/

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