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Differential identities of prime rings. (English. Russian original) Zbl 0423.16011

Algebra Logic 17, 155-168 (1979); translation from Algebra Logika 17, 220-238 (1978).

MSC:

16Rxx Rings with polynomial identity
16P50 Localization and associative Noetherian rings
16N60 Prime and semiprime associative rings
16W20 Automorphisms and endomorphisms
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References:

[1] L. A. Bokut’, Associative Rings I (Ring Construction) [in Russian], No. 18 in the series ”Library of the Department of Algebra and Mathematical Logic of Novosibirsk University,” Novosibirsk (1977).
[2] L. A. Bokut’, ”Embeddings into simple associative algebras,” Algebra Logika,15, No. 2, 115–246 (1976). · Zbl 0358.02022 · doi:10.1007/BF01877236
[3] K. I. Beidar, ”On the structure of theT-ideal of generalized identities of a semiprime ring with a strong identity,” in: Fourteenth All-Union Algebra Conference, Abstracts of Reports, Novosibirsk (1977), pp. 8–9.
[4] V. K. Kharchenko, ”Generalized identities involving automorphisms,” Algebra Logika,14, No. 2, 215–237 (1975). · Zbl 0314.16015
[5] V. K. Kharchenko, ”Algebra of invariants of free algebras,” Algebra Logika,17, No. 4 (1978). · Zbl 0387.16017
[6] W. S. Martindale, ”Prime rings satisfying a generalized polynomial identity,” J. Algebra,12, No. 4, 576–584 (1969). · Zbl 0175.03102 · doi:10.1016/0021-8693(69)90029-5
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