Homology, Homotopy and Applications
Volume 22 (2020)
Crossed modules in the category of Loday QD-Rinehart algebras
Pages: 347 – 366
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.
Loday QD-algebroid, Loday QD-Rinehart algebra, derivation, abelian extension, crossed module, cohomology
2010 Mathematics Subject Classification
17A32, 17D99, 18G60
The first author was supported by Agencia Estatal de Investigación (Spain), grant MTM2016-79661-P (AEI/FEDER, UE, support included).
Received 31 January 2019
Received revised 5 November 2019
Accepted 5 February 2020
Published 20 May 2020