Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 68 Sayı: 2, 2258 - 2263, 01.08.2019
https://doi.org/10.31801/cfsuasmas.476986

Öz

Kaynakça

  • Ali A., De Filippis V. and Shujat F., Commuting values of generalized derivations on multilinear polynomials, Comm. Algebra 42, (2014), 3699-3707.
  • Beidar K.I., Martindale W.S. and Mikhalev A.V., Rings with generalized identities, Pure and Aplied Math., Dekker, New York, 1996.
  • Carini L. and De Filippis V., Centralizers of generalized derivations on multilinear polynomials in prime rings, Siberian Math. Journal 53(6), (2012) 1051-1060.
  • 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.
  • Kharchenko V.K., Differential identities of prime rings, Algebra i Logika 17, (1978), 220-238. (Engl. Transl., Algebra and Logic 17, (1978), 154-168.)
  • Kharchenko V.K., Differential identities of semiprime rings, Algebra i Logika 18, (1979), 86-119. (Engl. Transl., Algebra and Logic 18, (1979), 58-80.)
  • Lee T.-K., Generalized derivations of left faithful rings, Comm. Algebra 27, (1999), 4057-4073.

Generalizations of some results on generalized polynomial identities

Yıl 2019, Cilt: 68 Sayı: 2, 2258 - 2263, 01.08.2019
https://doi.org/10.31801/cfsuasmas.476986

Öz

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.

Kaynakça

  • Ali A., De Filippis V. and Shujat F., Commuting values of generalized derivations on multilinear polynomials, Comm. Algebra 42, (2014), 3699-3707.
  • Beidar K.I., Martindale W.S. and Mikhalev A.V., Rings with generalized identities, Pure and Aplied Math., Dekker, New York, 1996.
  • Carini L. and De Filippis V., Centralizers of generalized derivations on multilinear polynomials in prime rings, Siberian Math. Journal 53(6), (2012) 1051-1060.
  • 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.
  • Kharchenko V.K., Differential identities of prime rings, Algebra i Logika 17, (1978), 220-238. (Engl. Transl., Algebra and Logic 17, (1978), 154-168.)
  • Kharchenko V.K., Differential identities of semiprime rings, Algebra i Logika 18, (1979), 86-119. (Engl. Transl., Algebra and Logic 18, (1979), 58-80.)
  • Lee T.-K., Generalized derivations of left faithful rings, Comm. Algebra 27, (1999), 4057-4073.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Münevver Pınar Eroğlu 0000-0002-7523-9812

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 31 Ekim 2018
Kabul Tarihi 23 Ocak 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

APA Eroğlu, M. P. (2019). Generalizations of some results on generalized polynomial identities. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 2258-2263. https://doi.org/10.31801/cfsuasmas.476986
AMA Eroğlu MP. Generalizations of some results on generalized polynomial identities. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):2258-2263. doi:10.31801/cfsuasmas.476986
Chicago Eroğlu, Münevver Pınar. “Generalizations of Some Results on Generalized Polynomial Identities”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 2258-63. https://doi.org/10.31801/cfsuasmas.476986.
EndNote Eroğlu MP (01 Ağustos 2019) Generalizations of some results on generalized polynomial identities. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 2258–2263.
IEEE M. P. Eroğlu, “Generalizations of some results on generalized polynomial identities”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 2258–2263, 2019, doi: 10.31801/cfsuasmas.476986.
ISNAD Eroğlu, Münevver Pınar. “Generalizations of Some Results on Generalized Polynomial Identities”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (Ağustos 2019), 2258-2263. https://doi.org/10.31801/cfsuasmas.476986.
JAMA Eroğlu MP. Generalizations of some results on generalized polynomial identities. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:2258–2263.
MLA Eroğlu, Münevver Pınar. “Generalizations of Some Results on Generalized Polynomial Identities”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 2258-63, doi:10.31801/cfsuasmas.476986.
Vancouver Eroğlu MP. Generalizations of some results on generalized polynomial identities. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):2258-63.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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