MODULES WITH VALUES IN THE SPACE OF ALL DERIVATIONS OF AN ALGEBRA

Year 2014, Volume: 2 Issue: 2, 1 - 18, 01.12.2014

H. Abbası GH.HAGHIGHATDOOST

Abstract

In this paper, we construct a groupoid associated to a modulewith 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 thecenter Z(A) of A together with a homomorphism of Z(A)-modules from G tothe space of all derivations Der(A) of A, we associate a groupoid. We discusson the equivalence relation induced from this groupoid

Keywords

Groupoid , Lie algebra , Lie algebroid

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