On Graded Central Polynomials of the Graded Algebra M₂(E)

REFERENCES

• Alves , S. M. , Brandão , A. P. , Koshlukov , P. ( 2009 ). Graded central polynomials for T-prime algebras . Comm. Alg. 37 : 2008 – 2020 .
   Web of Science ®Google Scholar
• Brandão , A. P. , Koshlukov , P. ( 2006 ). Central polynomials for ℤ2-graded algebras and for algebras with involution . J. Pure App. Algebra 208 : 877 – 886 .
   Google Scholar
• Belov , A. ( 2003 ). No associative PI algebra coincides with its commutant . Siberian Math. J. 44 ( 6 ): 969 – 980 .
   Web of Science ®Google Scholar
• Drensky , V. ( 2000 ). Free Algebras and PI-Algebras . Singapore : Springer-Verlag .
   Google Scholar
• Formanek , E. ( 1972 ). Central polynomials for matrix rings . J. Algebra 23 : 129 – 132 .
   Web of Science ®Google Scholar
• Formanek , E. ( 1984 ). Invariants and the ring of generic matrices . J. Algebra 89 : 178 – 223 .
   Web of Science ®Google Scholar
• Giambruno , A. , Mishchenko , S. , Zaicev , M. ( 2001 ). Polynomial identities on superalgebras and almost polynomial growth . Commun. in Algebra 29 ( 9 ): 3787 – 3800 .
   Web of Science ®Google Scholar
• Jorge S. M., Vieira , A. C. ( 2009 ). Central polynomials for matrix algebras over the Grassmann algebra . São Paulo Journal of Mathematical Sciences. 3 ( 2 ): 179 – 191 .
   Google Scholar
• Kemer , A. R. ( 1985 ). Varieties and ℤ2-graded algebras . Math. USSR, Izv. 25 : 359 – 374 .
   Google Scholar
• Kemer , A. R. ( 1991 ). Ideals of identities of associative algebras . Translations Math. Monographs Vol. 87. AMS .
   Google Scholar
• Kemer , A. R. ( 1998 ). On the multilinear components of the regular prime varieties . In: Dekker , M. , ed. Methods in Ring Theory . Vol. 138. Lecture Notes Pure Appl. Math. New York , pp. 171 – 183 .
   Google Scholar
• Krakowski , D. , Regev , A. ( 1973 ). The polynomial identities of the Grassmann algebra . Trans. Amer. Math. Soc. 181 : 429 – 438 .
   Web of Science ®Google Scholar
• La Mattina , D. ( 2004 ). On the graded identities and cocharacters of the algebra of 3 × 3 matrices . Linear Algebra and Its Appl. 384 : 55 – 75 .
   Google Scholar
• Okhitin , S. ( 1988 ). Central polynomials of the algebra of second order matrices . Moscow Univ. Math. Bull. 43 ( 4 ): 49 – 51 .
   Google Scholar
• Popov , A. ( 1982 ). Identities of the tensor square of a Grassmann algebra . Algebra and Logic 21 : 296 – 316 .
   Google Scholar
• 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 .
   Google Scholar
• Razmyslov , Yu. P. ( 1973 ). A certain problem of Kaplansky . Russian. Izv. Akad. Nauk SSSR, Ser. Mat. 37 : 483 – 501 .
   Google Scholar
• Di Vincenzo , O. M. ( 1992 ). On the graded identities of M 1, 1(E) . Israel J. Math. 80 ( 3 ): 323 – 335 .
   Web of Science ®Google Scholar
• Communicated by I. Shestakov.
   Google Scholar