In this thesis, the main object of study is the class of the (G, ∗)-algebras, that is, algebras graded by a group G and endowed with a graded involution ∗. Firstly, we study the algebraic structure of the (G, ∗)-algebras. ...

In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ...

The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...

Let V be a variety of superalgebras with graded involution and let $\{\cgri(v)\}_{n\geq 1}$ be its sequence of *-graded codimensions. We say that V has polynomial growth $n^k$ if asymptotically $\cgri(V)\approx an^k$, for ...

Let F be a field and denote by Zn the group of integers modulo n. In this dissertation, we will study a description of a finite basis for the Zn-graded polynomial identities of the matrix algebra of order n over F, when n ...