GENERALIZATIONS OF SOME RESULTS ON GENERALIZED POLYNOMIAL IDENTITIES

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EROĞLU M. P.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.2, pp.2258-2263, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 68 Issue: 2
• Publication Date: 2019
• Doi Number: 10.31801/cfsuasmas.476986
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.2258-2263
• Keywords: Simple GPI-ring, prime ring, commutator ring, derivation, generalized derivation, DERIVATIONS
• Dokuz Eylül University Affiliated: Yes

Abstract

In this work, our aim is to generalize some of the results in [1] and [5]. Precisely, we extend the result in [1] on commuting values of the same generalized derivations to the different generalized derivations case by a short proof. Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.