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Title
MODULES WITH VALUES IN THE SPACE OF ALL DERIVATIONS OF AN ALGEBRA
Type of Research Article
Keywords
Key words and phrases. Groupoid, Lie algebra, Lie algebroid.
Abstract
Abstract. In this paper, we construct a groupoid associated to a module with values in the space of all derivations of a unital algebra. More precisely, for a pair (A; G) consisting of an algebra A with a unit, a module G over the center Z(A) of A together with a homomorphism of Z(A)-modules from G to the space of all derivations Der(A) of A; we associate a groupoid. We discuss on the equivalence relation induced from this groupoid.
Researchers Ghorbanali Haghighatdoost Bonab (First Researcher)، Hami Abbasi Makrani (Second Researcher)