Kharchenko, V. K. 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 20 ReviewsCited in 207 Documents MSC: 16Rxx Rings with polynomial identity 16P50 Localization and associative Noetherian rings 16N60 Prime and semiprime associative rings 16W20 Automorphisms and endomorphisms Keywords:multilinear generalized identity; Martindale ring of quotients; prime ring; algebraic derivation; generalized identity involving derivations; differential identities PDFBibTeX XMLCite \textit{V. K. Kharchenko}, Algebra Logic 17, 155--168 (1979; Zbl 0423.16011); translation from Algebra Logika 17, 220--238 (1978) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.