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

Abstract

In the first part of this paper, we point out some errors in Communications in Algebra, 45(11) (2017), 4631–4645 and then we give a correct version of the errant results. The second part presents our contribution in the study of two-sided α-derivations satisfying certain identities over near-rings.

Keywords:

• Commutativity
• two-sided α-derivations
• 3-prime near-rings

2010 Mathematics Subject Classification:

• 16N60
• 16W25
• 16Y30

Acknowledgments

The authors would like also to thank the referee for careful reading of the manuscript and several useful comments and suggestions.

Additional information

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through General Research Project under grant number [G.R.P-16-40].