Centrally-extended generalized Jordan derivations in rings-Reference-Cited by-同舟云学术

Centrally-extended generalized Jordan derivations in rings

Published:2023-01-01 Issue:1 Volume:22 Page:33-47
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Bhushan Bharat¹,Sandhu Gurninder S.²,Kumar Deepak³

Affiliation:

1. 1 Chitkara University Institute of Engineering and Technology, Chitkara University , Rajpura Punjab , India

2. Department of Mathematics, Patel Memorial National College , Rajpura , Punjab , India

3. Department of Mathematics, Punjabi University , Patiala , Punjab , India

Abstract

Abstract In this article, we introduce the notion of centrally-extended generalized Jordan derivations and characterize the structure of a prime ring (resp. *-prime ring) R that admits a centrally-extended generalized Jordan derivation F satisfying [F(x), x] ∈ Z(R) (resp. [F(x), x*] ∈ Z(R)) for all x ∈ R.

Publisher

Walter de Gruyter GmbH

Subject

Psychiatry and Mental health

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2023-0004

Reference16 articles.

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3. Beidar, Konstantin Igorevich, Wallace Smith Martindale III, and Aleksandr Vasil’evich Mikhalev. Rings with Generalized Identities. Vol. 196 of Pure Appl. Math. New York: Marcel Dekker Inc., 1996. Cited on 35.

4. Bell, Howard Edwin, and Mohamad Nagy Daif. “On centrally-extended maps on rings.” Beitr. Algebra Geom. 57, no. 1 (2016): 129-136. Cited on 34.

5. Bhushan, Bharat, Gurninder Singh Sandhu, Shakir Ali, and Deepak Kumar. “On centrally extended Jordan derivations and related maps in rings.” Hacet. J. Math. Stat. 52, no. 1 (2023): 23-35. Cited on 34 and 35.

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1. Rings with centrally-extended Jordan epimorphisms;Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica;2024-01-01