Some properties of rings and near-rings with derivations and generalized derivations-Reference-Cited by-同舟云学术

Some properties of rings and near-rings with derivations and generalized derivations

Published:2020-01-17 Issue:3 Volume:28 Page:335-339
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Al-Shaalan Khalid¹

Affiliation:

1. Mathematics Department , College of Sciences , King Saud University , Riyadh , Kingdom of Saudi Arabia

Abstract

Abstract In the first part of the paper, we study the existence of derivations on a class of 3-prime near-rings. In the second part, we get some commutativity results for prime rings with generalized derivations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2019-2082/pdf

Reference11 articles.

1. H. E. Bell, On derivations in near-rings. II, Nearrings, Nearfields and K-Loops (Hamburg 1995), Math. Appl. 426, Kluwer Acad. Publ., Dordrecht (1997), 191–197.

2. H. E. Bell, A. Boua and L. Oukhtite, Semigroup ideals and commutativity in 3-prime near rings, Comm. Algebra 43 (2015), no. 5, 1757–1770.

3. H. E. Bell and G. Mason, On derivations in near-rings, Near-rings and near-fields (Tübingen, 1985), North-Holland Math. Stud. 137, North-Holland, Amsterdam (1987), 31–35.

4. A. Boua, L. Oukhtite and H. E. Bell, Differential identities on semigroup ideals of right near-rings, Asian-Eur. J. Math. 6 (2013), no. 4, Article ID 1350050.

5. A. A. M. Kamal and K. H. Al-Shaalan, Commutativity of rings and near-rings with generalized derivations, Indian J. Pure Appl. Math. 44 (2013), no. 4, 473–496.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On generalized derivations of semirings;Georgian Mathematical Journal;2022-07-22