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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

Generalizations of some results on generalized polynomial identities

Münevver Pınar EROĞLU
Sayfa
2258–2263
Yayın Tarihi
2019-08-01
DOI
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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

🎯
Amaç & Hipotez:Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works.
📊
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:Araştırma Makalesi
📍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, Cilt: 68 - Sayı: 2, 2258–2263. https://ajindex.com/articles/747007

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Kaynakça (8)

  1. Ali A., De Filippis V. and Shujat F., Commuting values of generalized derivations on multilinear polynomials, Comm. Algebra 42, (2014), 3699-3707.
  2. Beidar K.I., Martindale W.S. and Mikhalev A.V., Rings with generalized identities, Pure and Aplied Math., Dekker, New York, 1996.
  3. Carini L. and De Filippis V., Centralizers of generalized derivations on multilinear polynomials in prime rings, Siberian Math. Journal 53(6), (2012) 1051-1060.
  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.
  6. Kharchenko V.K., Differential identities of prime rings, Algebra i Logika 17, (1978), 220-238. (Engl. Transl., Algebra and Logic 17, (1978), 154-168.)
  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.