%0 Journal Article %1 noauthororeditor %A Kaushik, Dr. K. L. %D 2020 %J International Journal of Trend in Scientific Research and Development %K 2-Torsion Commutative Derivation Generalized Prime free. near ring rings %N 6 %P 1283-1284 %T Generalized Derivations in Prime near Rings %U https://www.ijtsrd.com/mathemetics/algebra/33600/generalized-derivations-in-prime-near-rings/dr-k-l-kaushik %V 4 %X Let NP be a zero symmetric prime near ring with multiplicative centre Z. Let f NP NP be a generalized derivation de ned on NP. We prove that “If f 0 generalized derivation on NP for which a f NP Z b f x ,f y = 0 x,y NP ” Also if NP is 2 torsion free then NP is commutative ring, from which Herstein 2 Theorem comes out as a corollary. Dr. K. L. Kaushik "Generalized Derivations in Prime near Rings" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, URL: https://www.ijtsrd.com/papers/ijtsrd33600.pdf Paper Url: https://www.ijtsrd.com/mathemetics/algebra/33600/generalized-derivations-in-prime-near-rings/dr-k-l-kaushik

@article{noauthororeditor, abstract = {Let NP be a zero symmetric prime near ring with multiplicative centre Z. Let f NP NP be a generalized derivation de ned on NP. We prove that “If f 0 generalized derivation on NP for which a f NP Z b f x ,f y = 0 x,y NP ” Also if NP is 2 torsion free then NP is commutative ring, from which Herstein 2 Theorem comes out as a corollary. Dr. K. L. Kaushik "Generalized Derivations in Prime near Rings" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, URL: https://www.ijtsrd.com/papers/ijtsrd33600.pdf Paper Url: https://www.ijtsrd.com/mathemetics/algebra/33600/generalized-derivations-in-prime-near-rings/dr-k-l-kaushik }, added-at = {2020-12-02T11:27:41.000+0100}, author = {Kaushik, Dr. K. L.}, biburl = {https://www.bibsonomy.org/bibtex/28d7ddede7dff981e60d4aecb5425c596/ijtsrd}, interhash = {1556084b4e7118d4db2ab087211a90e8}, intrahash = {8d7ddede7dff981e60d4aecb5425c596}, issn = {2456-6470}, journal = {International Journal of Trend in Scientific Research and Development}, keywords = {2-Torsion Commutative Derivation Generalized Prime free. near ring rings}, language = {English}, month = sep, number = 6, pages = {1283-1284}, timestamp = {2020-12-02T11:27:41.000+0100}, title = {Generalized Derivations in Prime near Rings }, url = {https://www.ijtsrd.com/mathemetics/algebra/33600/generalized-derivations-in-prime-near-rings/dr-k-l-kaushik}, volume = 4, year = 2020 }