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http://dx.doi.org/10.14403/jcms.2022.35.2.115

ON ORTHOGONAL REVERSE DERIVATIONS OF SEMIPRIME 𝚪-SEMIRINGS  

Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
Publication Information
Journal of the Chungcheong Mathematical Society / v.35, no.2, 2022 , pp. 115-124 More about this Journal
Abstract
In this paper, we introduce the notion of orthogonal reserve derivation on semiprime 𝚪-semirings. Some characterizations of semiprime 𝚪-semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiprime 𝚪-semiring to be orthogonal.
Keywords
${\Gamma}$-semiring; reverse derivation; semiprime; orthogonal; 2-torsion free;
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  • Reference
1 M. Ashraf, M. R. Jamal, Othogonal derivations in Γ-rings, Advances in Algebras, 3 (2010), no. 1, 1-6.
2 Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov, Semiprime Γ-rings with orthogonal reverse Derivations, Int. J. Pure Appl. Math., 83 (2013), no. 2, 233-245.
3 E. Posner, Derivations in prime rings, Pro. Amer. Math. Soc., 8 (1957), 1093-1100.   DOI
4 Jonathan S Golan, Semirings and their applications, Kluwer Academic press, (1969).
5 N. N. Sulaiman, A. R. H. Majeed, Orthogonal derivations on an ideal of semiprime Γ-rings, Int. Math. Forum, 7 (2012), no. 28, 1405-1412.