ℤ k + l × ℤ 2 -graded polynomial identities for M k , l ( E ) ⊗ E

Onofrio Mario Di Vincenzo; Vincenzo Nardozza

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 108, page 27-39
  • ISSN: 0041-8994

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Di Vincenzo, Onofrio Mario, and Nardozza, Vincenzo. "${\mathbb {Z}}_{k+l}\times {\mathbb {Z}}_2$-graded polynomial identities for $M_{k,l}(E)\otimes E$." Rendiconti del Seminario Matematico della Università di Padova 108 (2002): 27-39. <http://eudml.org/doc/108591>.

@article{DiVincenzo2002,
author = {Di Vincenzo, Onofrio Mario, Nardozza, Vincenzo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Grassmann algebras; generating sets; ideals of graded polynomial identities; PI-equivalences},
language = {eng},
pages = {27-39},
publisher = {Seminario Matematico of the University of Padua},
title = {$\{\mathbb \{Z\}\}_\{k+l\}\times \{\mathbb \{Z\}\}_2$-graded polynomial identities for $M_\{k,l\}(E)\otimes E$},
url = {http://eudml.org/doc/108591},
volume = {108},
year = {2002},
}

TY - JOUR
AU - Di Vincenzo, Onofrio Mario
AU - Nardozza, Vincenzo
TI - ${\mathbb {Z}}_{k+l}\times {\mathbb {Z}}_2$-graded polynomial identities for $M_{k,l}(E)\otimes E$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 108
SP - 27
EP - 39
LA - eng
KW - Grassmann algebras; generating sets; ideals of graded polynomial identities; PI-equivalences
UR - http://eudml.org/doc/108591
ER -

References

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  1. [B] A. BERELE, Supertraces and matrices over Grassmann algebras, Advances in Math., 108 (1) (1994), pp. 77-90. Zbl0819.16023MR1293582
  2. [DVN] O. M. DI VINCENZO - V. NARDOZZA, Graded polynomial identities for tensor products by the Grassmann Algebra, Comm. Algebra (2002) (in press). Zbl1039.16023
  3. [K] A. R. KEMER, Varieties and Z2-graded algebras, Math. USSR Izv., 25 (1985), pp. 359-374. Zbl0586.16010MR764308
  4. [K1] A. R. KEMER, Ideals of identities of associative algebras, AMS Trans. of Math. Monographs, 87 (1991). Zbl0732.16001MR1108620
  5. [R] A. REGEV, Tensor product of matrix algebras over the Grassmann algebra, J. Algebra, 133 (1990), pp. 351-369. Zbl0639.16010MR1067423
  6. [V] S. Y. VASILOVSKY, Zn-graded polynomial identities of the full matrix algebra of order n, Proc. Amer. Math. Soc., 127 (12) (1999), pp. 3517-3524. Zbl0935.16012MR1616581

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