Abstract:In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra Dn of n × n diagonal matrices. We prove that, in case of a degenerate trace, all its trace identities follow by the commutativity law and by pure trace identities. Moreover we relate the trace identities of D n+1 endowed with a degenerate trace, to those of Dn with the corresponding trace. This allows us to determine the generators of the … Show more
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