Asian Journal of Research in Social Sciences and Humanities
  • Year: 2016
  • Volume: 6
  • Issue: 9

Orthogonal Generalized Reverse Semiderivations of Semiprime Semirings

*Dr. Mahalingam College of Engineering and Technology, Pollachi, Tamilnadu, India

**Thiruvalluvar College, Papanasam, Tamilnadu, India

***The M. D. T. Hindu College, Tirunelveli, Tamilnadu, India

Abstract

Motivated by some results on orthogonal generalized derivation on semiprime rings in this paper, we authors have defined orthogonality of two generalized reverse semiderivations of semiprime semirings. Moreover, we extend some known results on orthogonal generalized derivations of semiprime semirings to orthogonal generalized reverse semiderivations of semiprime semirings.

Keywords

Semirings, Prime semirings, Semiprime semirings, Derivation, Generalized derivation, Reverse derivation, Generalized reverse derivation, Semiderivation, Generalized semiderivation, Reverse semiderivation, Generalized reverse semiderivation, Orthogonal reverse semiderivations, Orthogonal generalized reverse semiderivations