This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ...

Let F be an algebraically closed field of characteristic zero. In this thesis, we describe necessary and suficient conditions for the factorability of T2-ideals of minimal supervarieties of a fixed superexponent. In light ...

Categories over a field k can be graded by di erent groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the ...

For a twisted partial action e of a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A x(Theta) G is proved to be associative. Given a G-graded k-algebra B ...