Functional equations related to higher derivations in semiprime rings-Reference-Cited by-同舟云学术

Functional equations related to higher derivations in semiprime rings

Published:2021-01-01 Issue:1 Volume:19 Page:1359-1365
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ezzat O. H.¹²

Affiliation:

1. Department of Mathematics, College of Science and Arts at Belqarn, University of Bisha , Sabt Al-Alaya (61985) , Saudi Arabia

2. Department of Mathematics, Faculty of Science, Al-Azhar University , Nasr City (11884) , Cairo , Egypt

Abstract

Abstract We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation. Moreover, we study preservation of the center of the ring by a centrally extended higher derivation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0123/pdf

Reference12 articles.

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4. N. Muthana and Z. Alkhamisi, On centrally-extended multiplicative (generalized)-(α,β)-derivations in semiprime rings, Hacet. J. Math. Stat. 49 (2020), no. 2, 578–585, https://doi.org/10.15672/hujms.568378.

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