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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Generalizations of some results on generalized polynomial identities

Münevver Pınar Eroğlu(DOKUZ EYLÜL ÜNİVERSİTESİ)0000-0002-7523-9812
Sayfa
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Yayın Tarihi
2019-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Simple GPI-ring · prime ring · commutator ring

Abstract

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.

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Bu Makaleye Atıf Yap

Eroğlu, M. P. (2019). Generalizations of some results on generalized polynomial identities. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.476986

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Kaynakça (8)

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  4. Demir Ç. and Argaç N., Prime rings with generalized derivations on right ideals, Algebra Colloq. 18, (2011), 987-998.
  5. 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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  7. Kharchenko V.K., Differential identities of semiprime rings, Algebra i Logika 18, (1979), 86-119. (Engl. Transl., Algebra and Logic 18, (1979), 58-80.)
  8. Lee T.-K., Generalized derivations of left faithful rings, Comm. Algebra 27, (1999), 4057-4073.