64
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

GRADED IDENTITIES FOR THE MATRIX ALGEBRA OF ORDER OVER AN INFINITE FIELD

Pages 5849-5860 | Received 01 Jun 2001, Published online: 31 Aug 2006

REFERENCES

  • Berele , A. and Magnum , P.I. 1985 . Israel Journal of Mathematics , 51 ( 1–2 ) : 13 – 19 .
  • Berele , A. 1993 . Generic Verbally Prime PI-algebras and their GK-dimensions . Communications in Algebra , 21 ( 5 ) : 1487 – 1504 .
  • Di Vincenzo , O.M. 1992 . On the Graded Identities of M 1,1(E) . Israel Journal of Mathematics , 80 ( 3 ) : 323 – 335 .
  • Drensky , V. 1981 . A Minimal Basis for the Identities of a Second-order Matrix Algebra Over a Field of Characteristic 0 . Algebra and Logic , 20 : 188 – 194 .
  • Drensky , V. 2000 . Free Algebras and PI-algebras Singapore : Springer-Verlag .
  • Genov , G.K. 1981 . Basis for Identities of a Third Order Matrix Algebra Over a Finite Field . Algebra and Logic , 20 : 241 – 257 .
  • Genov , G.K. and Siderov , P.N. 1982 . A Basis for Identities of the Algebra of Fourth-order Matrices Over a Finite Field I, II [Russian] . Serdica , 8 : 313 – 323 . 351–366
  • Kemer , A.R. 1991 . “ Introduction ” . In Ideals of Identities of Associative Algebras Vol. 87 , 4 – 5 . Providence : American Mathematical Society . Translations of Mathematical Monographs
  • Koshlukov , P. 2001 . Basis of the Identities of the Matrix Algebra of Order Two Over a Field of Characteristic p≠2 . Journal of Algebra , 241 : 410 – 434 .
  • Koshlukov , P. and Azevedo , S.S. 2002 . Graded Identities for T-prime Algebras Over Fields of Positive Characteristic . Israel Journal of Mathematics , 128 : 157 – 176 .
  • Maltsev , Yu.N. and Kuzmin , E.N. 1978 . A Basis for Identities of the Algebra of Second Order Matrices Over a Finite Field . Algebra and Logic , 17 : 18 – 21 .
  • Procesi , C. 1976 . The Invariant Theory of n×n Matrices . Advances in Mathematics , 19 ( 3 ) : 306 – 381 .
  • Razmyslov , Yu.P. 1973 . Finite Basing of the Identities of a Matrix Algebra of Second Order Over a Field of Characteristic Zero . Algebra and Logic , 12 : 47 – 63 .
  • Razmyslov , Yu.P. 1974 . Trace Identities of Full Matrix Algebras Over a Field of Characteristic Zero . Math. USSR Izv. , 8 : 727 – 760 .
  • Vasilovsky , S.Yu. 1999 . -graded Polynomial Identities of the Full Matrix Algebra of order n . Proceedings of the American Mathematical Society , 127 ( 12 ) : 3517 – 3524 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.