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Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices

Di Vincenzo, Onofrio — 2004

Serdica Mathematical Journal

000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55. We present some results about the Z2-graded polynomial identities of block-triangular matrix superalgebras R[[A M],[0 B]]. In particular, we describe conditions for the T2-ideal of a such superalgebra to be factorable as the product T2(A)T2(B). Moreover, we give formulas for computing the sequence of the graded cocharacters of R in some interesting case. Partially supported by MURST COFIN 2003 and Università...

Weak Polynomial Identities for M1,1(E)

Di Vincenzo, OnofrioLa Scala, Roberto — 2001

Serdica Mathematical Journal

* Partially supported by Universita` di Bari: progetto “Strutture algebriche, geometriche e descrizione degli invarianti ad esse associate”. We compute the cocharacter sequence and generators of the ideal of the weak polynomial identities of the superalgebra M1,1 (E).

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