BORGES, A. R.; http://lattes.cnpq.br/2135219782789556; BORGES, Alex Ramos.
Abstract:
In this work we study the gradings and the graded polynomial identities of the
upper n × n triangular matrices algebra Un(K) over a eld K, which is always in nity.
The case n = 2 will be rstly studied, for which will be shown that there is only
one nontrivial grading and we shall describe the graded identities, codimensions and
cocharacters. For the general n case, we shall study graded identities and codimensions,
considering the natural Zn-grading of Un(K). Finally, we will present a classi cation
of the gradings of Un(K) by any group.