Additivity of multiplicative (generalized) skew semi-derivations on rings-Reference-Cited by-同舟云学术

Additivity of multiplicative (generalized) skew semi-derivations on rings

Published:2023-12-13 Issue:0 Volume:0 Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Aziz Sk¹,Ghosh Arindam²,Prakash Om¹

Affiliation:

1. Department of Mathematics , Indian Institute of Technology Patna , Patna - 801 106 , India

2. Department of Mathematics , Government Polytechnic Kishanganj , Kishanganj - 855 116 , India

Abstract

Abstract In this paper, we introduce a new class of derivations that generalizes skew derivations and semi-derivations, and we call it skew semi-derivation. Furthermore, we present a study of the conditions under which this type of multiplicative derivation becomes additive.

Funder

University Grants Commission

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2100/pdf

Reference24 articles.

1. S. Aziz, A. Ghosh and O. Prakash, Additivity of multiplicative (generalized) maps over rings, preprint (2023), https://arxiv.org/abs/2302.14571.

2. S. Aziz, A. Ghosh and O. Prakash, Some generalized Jordan maps on triangular rings force additivity, preprint (2023), https://arxiv.org/abs/2301.08093.

3. J. Bergen, Derivations in prime rings, Canad. Math. Bull. 26 (1983), no. 3, 267–270.

4. M. Brešar, Semiderivations of prime rings, Proc. Amer. Math. Soc. 108 (1990), no. 4, 859–860.

5. J. C. Chang, On semiderivations of prime rings, Chinese J. Math. 12 (1984), no. 4, 255–262.

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