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

Serdica Mathematical Journal (2004)

- Volume: 30, Issue: 2-3, page 111-134
- ISSN: 1310-6600

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topDi Vincenzo, Onofrio. "Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices." Serdica Mathematical Journal 30.2-3 (2004): 111-134. <http://eudml.org/doc/219648>.

@article{DiVincenzo2004,

abstract = {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 di Bari.},

author = {Di Vincenzo, Onofrio},

journal = {Serdica Mathematical Journal},

keywords = {Graded Cocharacter Sequence; Triangular Matrices; Superalgebra; Polynomial Identity; graded cocharacter sequences; block triangular matrices; superalgebras; polynomial identities},

language = {eng},

number = {2-3},

pages = {111-134},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices},

url = {http://eudml.org/doc/219648},

volume = {30},

year = {2004},

}

TY - JOUR

AU - Di Vincenzo, Onofrio

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

JO - Serdica Mathematical Journal

PY - 2004

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 30

IS - 2-3

SP - 111

EP - 134

AB - 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 di Bari.

LA - eng

KW - Graded Cocharacter Sequence; Triangular Matrices; Superalgebra; Polynomial Identity; graded cocharacter sequences; block triangular matrices; superalgebras; polynomial identities

UR - http://eudml.org/doc/219648

ER -

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