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Communications in Algebra Volume 31, 2003 - Issue 3
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Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

Onofrio Mario Di Vincenzo Dipartimento Interuniversitario di Matematica, Università degli Studi e Politecnico di Bari, via Orabona, Bari, Italia; Dipartimento Interuniversitario di Matematica, Università degli Studi e Politecnico di Bari, via Orabona 4, 70125, Bari, ItaliaCorrespondence[email protected] [email protected]
&
Vincenzo Nardozza Dipartimento di Matematica, c/da Macchia Romana, Potenza, Italia
Pages 1453-1474 | Received 23 Nov 2001, Published online: 31 Aug 2006

References

  • Bahturin , Y. , Giambruno , A. and Riley , D. M. 1998 . Group-graded algebras satisfying a polynomial identity . Isr. J. Math. , 104 : 145 – 155 .
  • Berele , A. 1985 . Magnum P. I . Isr. J. Math. , 51 ( 2 ) : 13 – 19 .
  • Berele , A. 1988 . Cocharacters of Z/2Z-graded algebras . Isr. J. Math. , 61 : 225 – 234 .
  • Di Vincenzo , O. M. 1992 . On the graded identities of M 1,1(E) . Isr. J. Math. , 80 ( 3 ) : 323 – 335 .
  • Di Vincenzo , O. M. 1996 . Cocharacters of G-graded Algebras . Comm. Algebra , 24 ( 10 ) : 3293 – 3310 .
  • Giambruno , A. and Zaicev , M. 1999 . Exponential codimensions growth of PI-algebras: an exact estimate . Adv. Math. , 142 : 221 – 243 .
  • Giambruno , A. , Mishchenko , S. and Zaicev , M. 2001 . Polynomial identities on superalgebras and almost polynomial growth . Comm. Algebra , 29 ( 9 ) : 3787 – 3800 .
  • Giambruno , A. , Mishchenko , S. and Zaicev , M. 2002 . Group actions and asymptotic behaviour of graded polynomial identities . J. London Math. Soc. , 62 ( 2 ) : 295 – 312 .
  • Gorenstein , D. 1980 . Finite Groups , 2nd New York : Chelsea Publishing Company .
  • James , G. D. 1978 . The Representation Theory of the Symmetric Group Vol. 682 , Berlin : Springer . Lecture Notes in Math
  • Kemer , A. R. 1984 . Varieties and Z 2-graded algebras . Izv. Akad. Nauk SSSR, Ser. Mat. , 48 : 1042 – 1059 . Translation: Math. USSR Izv. 25 (1985), 359–374
  • Kemer , A. R. 1991 . Ideals of identities of associative algebras . AMS Trans. of Math. Monographs , 87
  • Regev , A. 1984 . Codimensions and trace codimensions of matrices are asymptotically equal . Isr. J. Math. , 47 : 246 – 250 .
  • Regev , A. 1987 . On the identities of subalgebras of matrices over the Grassmann algebra . Isr. J. Math. , 58 ( 3 ) : 351 – 369 .
  • Regev , A. 1990 . Tensor products of matrix algebras over the Grassmann algebra . J. Algebra , 133 ( 2 ) : 512 – 526 .
  • Vasilovsky , S. Y. 1998 . Z-graded polynomial identities of the full matrix algebra . Comm. Algebra , 26 ( 2 ) : 601 – 612 .
  • Vasilovsky , S. Y. 1999 . Z n -graded polynomial identities of the full matrix algebra of order n . Proc. Amer. Math. Soc. , 127 ( 12 ) : 3517 – 3524 .

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