Generalizations of some results on generalized polynomial identities
Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works. 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.
Keywords:
Simple GPI-ring, prime ring, commutator ring, derivation generalized derivation,
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- Ali A., De Filippis V. and Shujat F., Commuting values of generalized derivations on multilinear polynomials, Comm. Algebra 42, (2014), 3699-3707.
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- Demir Ç. and Argaç N., Prime rings with generalized derivations on right ideals, Algebra Colloq. 18, (2011), 987-998.
- Eroglu M.P. and Lee T.-K., On the images of polynomials of derivations, Comm. Algebra 45(10), (2017), 4550-4556.
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- Lee T.-K., Generalized derivations of left faithful rings, Comm. Algebra 27, (1999), 4057-4073.
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
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