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" Rings with generalized identities / "
K.I. Beidar, W.S. Martindale 3rd, A.V. Mikhalev.
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BL
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| Record Number
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967489
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b721859
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| Main Entry
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Beidar, K. I., (Konstantin I.),1951-
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| Title & Author
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Rings with generalized identities /\ K.I. Beidar, W.S. Martindale 3rd, A.V. Mikhalev.
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| Publication Statement
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New York :: Marcel Dekker,, 1996.
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| Series Statement
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Monographs and textbooks in pure and applied mathematics ;; 196
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| Page. NO
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xi, 522 pages ;; 23 cm.
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| ISBN
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0824793250
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: 9780824793258
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| Notes
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Includes index.
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| Bibliographies/Indexes
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Includes bibliographical references (pages 493-517) and index.
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| Contents
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1. Preliminaries -- 2. Rings of Quotients -- 3. The Method of Orthogonal Completions -- 4. Primitive Rings -- 5. The Poincare-Birkhoff-Witt Theorem -- 6. Rings with Generalized Polynomial Identities -- 7. T-identities of Prime Rings -- 8. T-identities of Semiprime Rings -- 9. Applications to Lie Theory.
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| Abstract
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This outstanding reference discusses the latest results concerning the area of non-commutative ring theory known as the theory of generalized identities (GIs) - detailing Kharchenko's results on GIs in prime rings, Chuang's extension to anti-automorphisms, and the use of the Beidar-Mikhalev theory of orthogonal completion in the semiprime case. Providing novel proofs of existing results, Rings with Generalized Identities puts the theory of generalized identities on a rigorous basis with the use of skew group rings ... presents Beidar's determination of the generators of the T-ideal of generalized polynomial identities in (semi)prime rings ... furnishes a thorough proof of the generalized Poincare-Birkhoff-Witt theorem for (restricted) differential Lie algebras, making extensive use of the Diamond Lemma ... gives a general account of the extended centroid and rings of quotients ... covers a recent solution to a long-standing conjecture of Herstein on Lie isomorphisms ... and more.
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| Subject
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Polynomial rings.
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Anneaux non commutatifs.
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Polynomial rings.
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Polynomring
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| Dewey Classification
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512/.4
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| LC Classification
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QA251.3.B45 1996
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| NLM classification
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SK 230rvk
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| Added Entry
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Martindale, W. S., (Wallace S.),1930-
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Mikhalev, A. V., (Aleksandr Vasilʹevich)
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