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Licensed Unlicensed Requires Authentication Published by De Gruyter October 15, 2019

A study of differential prime rings with involution

  • Lahcen Oukhtite EMAIL logo and Omar Ait Zemzami ORCID logo

Abstract

The main goal of the present paper is to study some results concerning generalized derivations of prime rings with involution. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

MSC 2010: 16N60; 16W10; 16W25

References

[1] S. Ali and N. A. Dar, On -centralizing mappings in rings with involution, Georgian Math. J. 21 (2014), no. 1, 25–28. Search in Google Scholar

[2] S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J. 23 (2016), no. 1, 9–14. 10.1515/gmj-2015-0016Search in Google Scholar

[3] S. Ali, N. A. Dar and A. N. Khan, On strong commutativity preserving like maps in rings with involution, Miskolc Math. Notes 16 (2015), no. 1, 17–24. 10.18514/MMN.2015.1297Search in Google Scholar

[4] B. Dhara, N. Rehman and M. A. Raza, Lie ideals and action of generalized derivations in rings, Miskolc Math. Notes 16 (2015), no. 2, 769–779. Search in Google Scholar

[5] A. Mamouni, L. Oukhtite and B. Nejjar, On -semiderivations and -generalized semiderivations, J. Algebra Appl. 16 (2017), no. 4, Article ID 1750075. Search in Google Scholar

[6] B. Nejjar, A. Kacha, A. Mamouni and L. Oukhtite, Commutativity theorems in rings with involution, Comm. Algebra 45 (2017), no. 2, 698–708. 10.1080/00927872.2016.1172629Search in Google Scholar

[7] L. Oukhtite and A. Mamouni, Generalized derivations centralizing on Jordan ideals of rings with involution, Turkish J. Math. 38 (2014), no. 2, 225–232. 10.3906/mat-1203-14Search in Google Scholar

[8] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. 10.1090/S0002-9939-1957-0095863-0Search in Google Scholar

Received: 2017-09-13
Revised: 2018-05-25
Accepted: 2018-06-04
Published Online: 2019-10-15
Published in Print: 2021-02-01

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