EXTENDED CENTROID AND CENTRAL CLOSURE OF MULTIPLICATIVELY SEMIPRIME ALGEBRAS

REFERENCES

• Cabrera , M. and Mohammed , A. A. 1999 . Extended Centroid and Central Closure of the Multiplication Algebra . Comm. Algebra , 27 : 5723 – 5736 .
   Web of Science ®Google Scholar
• McCrimmon , K. 1989 . Martindale Systems of Symmetric Quotients . Algebras Groups Geom. , 6 : 153 – 237 .
   Google Scholar
• Jacobson , N. 1962 . Lie Algebras New York : Dover Publication Inc. .
   Google Scholar
• Schafer , R. D. 1966 . An Introduction to Nonassociative Algebras New York : Academic Press .
   Google Scholar
• Jacobson , N. 1968 . Structure and Representations of Jordan Algebras Vol. 39 , Providence, , Rhode Island : Amer. Math. Soc. Coll. Publ. .
   Google Scholar
• Zhevlakov , K. A. , Slinko , A. M. , Shestakov , I. P. and Shirshov , A. I. 1982 . Rings that are Nearly Associative New York : Academic Press .
   Google Scholar
• Wisbauer , R. 1996 . Modules and Algebras: Bimodule Structure and Group Actions on Algebras Vol. 81 , Addison Wesley Longman Limited . Pitman Monographs and surveys in Pure and Appl. Math.
   Google Scholar
• Finston , D. R. 1986 . On Multiplication Algebras . Trans. Amer. Math. Soc. , 293 : 807 – 818 .
   Web of Science ®Google Scholar
• Farrand , S. M.F. and Finston , D. R. 1987 . On the multiplication Ideal of a Nonassociative Algebra . Arch. Math. , 48 : 298 – 302 .
   Google Scholar
• Finston , D. R. 1987 . Polynomial Algebras have Polynomial Growth . Trans. Amer. Math. Soc. , 300 : 535 – 556 .
   Google Scholar
• Pritchard , F. L. 1991 . Zero Divisors in a Nonassociative K-algebra . Algebras Groups Geom. , 8 : 61 – 76 .
   Google Scholar
• Pritchard , F. L. 1993 . Ideals in the Multiplication Algebra of a Nonassociative K-algebra . Comm. Algebra , 21 : 4541 – 4559 .
   Web of Science ®Google Scholar
• Pritchard , F. L. 1994 . The Radical and the Multiplication Algebra of a Nonassociative Algebra . Algebras Groups Geom. , 11 : 329 – 345 .
   Google Scholar
• Rodríguez , A. 1994 . “ Jordan Structures in Analysis ” . In Jordan Algebras Edited by: Kaup , W. , McCrimmon , K. and Petersson , H. P. 97 – 186 . Berlin, New York : Walter de Gruyter . Oberwolfach, 1992
   Google Scholar
• Costa , R. and Suazo , A. 1996 . The multiplication Algebra of a Berstein Algebra: Basic Results . Comm. Algebra , 24 : 1809 – 1821 .
   Web of Science ®Google Scholar
• Mathieu , M. 1992 . Elementary Operators and Applications Singapore : World Scientific . Proc. Internat. Workshop, Blaubeuren, June 1991
   Google Scholar
• Martindale , W. S. III . 1969 . Prime Rings Satisfying a Generalized Polynomial Identity . J. Algebra , 12 : 576 – 584 .
   Web of Science ®Google Scholar
• Erickson , T. S. , Martindale , W. S. III and Osborn , J. M. 1975 . Prime Nonassociative Algebras . Pacific J. Math. , 60 : 49 – 63 .
   Web of Science ®Google Scholar
• Baxter , W. E. and Martindale , W. S. III . 1979 . Central Closure of Semiprime Nonassociative Rings . Comm. Algebra , 7 : 1103 – 1132 .
   Web of Science ®Google Scholar
• Cabrera , M. and Rodríguez , A. 1990 . Extended Centroid and Central Closure of Semiprime Normed Algebras: A First Approach . Comm. Algebra , 18 : 2293 – 2326 .
   Web of Science ®Google Scholar
• Beidar , K. I. , Martindale , W. S. III and Mikhalev , A. V. 1996 . Rings with Generalized Identities New York : Marcel Dekker .
   Google Scholar
• Ara , P. 1992 . “ Elementary Operators on Semiprime Rings ” . In Elementary Operators and Applications Edited by: Mathieu , M. 143 – 147 . Singapore : World Scientific . Proc. Internat. Workshop, Blaubeuren, June 1991
   Google Scholar