On two-sided α-generalized derivations of 3-prime near-rings

Abstract

In the first part of this paper, we mention some errors in Communications in Algebra, DOI:10.1080/00927872.2019.1684510, and give a correct version of the errant results. In the second part, we generalize some results in Communications in Algebra (DOI:10.1080/00927872.2016.1274900) and present our contribution in the study of generalized two-sided α-derivations satisfying certain identities over near-rings.

Keywords:

• 3-Prime near-ring
• commutativity
• two-sided α-derivations
• two-sided α-generalized derivations

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 16N60
• 16W25
• 16Y30