E-Book Overview
"Discusses the latest results concerning the area of noncommutative ring theory known as the theory of generalized identities (GIs)--detailing Kharchenko's results on GIs in prime rings, Chuang's extension to antiautomorphisms, and the use of the Beidar-Mikhalev theory of orthogonal completion in the semiprime case. Provides novel proofs of existing results."
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RINGS WITH GENERALIZED IDENTITIES ' PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes EXECUTIVE EDITORS Zuhair Nashed University of Delaware Newark, Delaware Earl J. Taft Rutgers University New Brunswick, New Jersey EDITORIAL BOARD M. S. Baowndi Ani1 Nerode University of California, Cornel1 University San Diego Donald Passman Jane Cronin University of Wisconsin, Rutgers University Madison Jack K. Hale Fred S. Roberts Ceorgia Institute of Technology Rutgers University S. Kobayashi University of Califomia, Berkeley Gian-CarloRota Massachusetts Instituteof Technology Marvin Marcus David University of California, Santa Barbara L. Russell Virginia Polytechnic Institute and State University W. S. Massey University YaleUniversitiit Siegen WalterSchempp Mark Teply Universiry of Wiscomin, Milwaukee MONOGRAPHS AND TEXTBOOKS IN PURE AND APPLIED MATHEMATICS 1. K. Yano, Integral Formulasin Riemannian Geometry(1970) 2. S. Kobayashi, Hyperbolic Manifolds and HolomorphicMappings (1970) 3. V. S. Vladimirov, Equations of Mathematical Physics (A. Jeffrey, ed.; A. Littlewood, trans.) (1970) 4. B. N. Pshenichnyi, Necessary Conditions for an Extremum (L. Neustadt, translation ed.; K. Makowski, trans.) (1971) 5. L. Narici et al., Functional Analysis and Valuation Theory (1971 6. S. S. Passman, Infinite Group Rings (1971) 7. L. Dornhoff, Group Representation Theory. Part A: Ordinary Representation Theory. Part B: Modular Representation Theory(1971, 1972) 8. W. Boorhby and G. L. Weiss, eds., Symmetric Spaces (1972) 9. Y. Matsushima, Differentiable Manifolds (E. T. Kobayashi,trans.) (1972) 10. L. E. Ward, Jr., Topology (1972) 11. A. Babakhanian, Cohomological Methodsin Group Theory (1972) 12. R. Gilmer, Multiplicative Ideal Theory(1972) 13. J. Yeh, Stochastic Processesand the Wiener Integral(1973) 14. J. Barros-Neto, Introduction to the Theory of Distributions (1973) 15. R. Larsen, Functional Analysis (1973) 16. K. Yano and S. lshihara, Tangent and Cotangent Bundles (1973) 17. C. Procesi, Rings with Polynomial Identities(1973) 18. R. Hermann, Geometry, Physics, and Systems (1973) 19. N. R. Wallach, Harmonic Analysis on Homogeneous Spaces (1973) 20. J. Dieudonn6, Introduction to the Theory of Formal Groups(1973) 21. /. Vaisman, Cohomology and Differential Forms(1973) 22. B.-Y. Chen, Geometry of Submanifolds (1973) 23. M. Marcus, Finite Dimensional Multilinear Algebra (intwo parts) (1973, 1975) 24. R. Larsen, Banach Algebras (1973) 25. R. 0.Kujala and A. L. Vitter, eds., Value Distribution Theory: Part A; Part B: Deficit and Bezout Estimates by Wilhelm Stoll (1973) 26. K. B. Stolarsky, Algebraic Numbers and Diophantine Approximation (1974) 27. A. R. Magid, The Separable Galois Theoryof Commutative Rings(1974) 28. B, R. McDonald, Finite Rings with Identity(1974) 29. J. Satake, Linear Algebra (S. Koh et al., trans.) (1975) 30. J. S. Golan, Localization of Noncommutative Rings(1975) 31. G.Klambauer, Mathematical Analysis (1975) 32. M. K. Agoston, Algebraic Topology (1976) 33. K. R. Goodearl, Ring Theory (1976) 34. L. E. Mansfield, Linear Algebra with Geometric Applications(1976) 35. N. J. Pullman, Matrix Theory and Its Applications (1976) 36. B. R. McDonald, Geometric Algebra Over LocalRings (1976) 37. C. W. Groetsch, Generalized Inverses of Linear Operators (1977) 38. J. E. Kuczkowski and J, L. Gersting, Abstract Algebra (1977) 39. C. 0. Christenson and W. L. V