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Some Results on Lie Ideal of Prime Rings

Author: HuangShuLiang
Tutor: FuShiTai
School: Nanjing Normal University
Course: Basic mathematics
Keywords: Prime ring Lie ideal Derivations Generalized Derivations Symmetrical double guide Homomorphism Centre closure
CLC: O153.3
Type: Master's thesis
Year: 2007
Downloads: 16
Quote: 0
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Abstract


Generalized polynomial identities theoretical ring is the ring of an emerging and important branch occupies an important position in Modern Algebra . Since its inception in the the 1957 Posner on two prime rings derivation famous theorem , prime rings derivation , generalized derivation , symmetric double guide such research become an important area in the study of ring theory . Especially the last 20 years , the people continue to discuss on various subsets of prime rings and with the co- prime ring derivations , generalized derivation and achieved many important results . This article focuses on the role of guide , generalized derivation Lie ideal prime ring Specifically , we consider the characteristics are not the prime ring R , the derivation of a prime ring , Generalized derivations and symmetric double guide certain results to an ideal of R or the entire ring R R is a square closed Lie ideal .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Ring Theory
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