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Jordan Homomorphism on ΓM- Modules | ||
| Journal of University of Anbar for Pure Science | ||
| Article 9, Volume 10, Issue 2, 2016, Pages 30-34 | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2016.132709 | ||
| Author | ||
| Sind K. Ibrahim* | ||
| University Of Anbar – College of Science | ||
| Abstract | ||
| The aim object of this paper is present and study the concepts of homomorphism and Jordan homomorphism on -module and prove that every Jordan homomorphism from -ring M Into prime -module X is either a homomorphism from M into X or anti-homomorphism from M into X. | ||
| Keywords | ||
| Jordan Homomorphism; Modules | ||
| References | ||
|
1)N.Nobusawa.(1964).On a generalization of the ring theory.Osaka J.Math., Vol.1,pp.81-89.
2)W.E.Barnes.(1966).On the G-rings of Nobusawa.Pacific J.Math.Vol.18,pp. 411-422.
3) S.Kyuno.(1978).On prime gamma rings.pasific J.Math.Vol.75,pp.185-190.
4) A.C.Paul and A.K.Halder.(2009).Jordan left derivations of two torsion free -Modules.J. of Physical Sciences,Vol.13,pp.13-19.
5) S.M.Salih.(to appear).Orthogonal Derivations and Orthogonal GeneralizedDerivations on GM-Modules.
6)H.Herstien.(1956). Jordan homomorphism. Trans.Amer. Math.Soc., Vol.81,pp. 331-351.
7)H.Herstien.(1969).Topic in ring theory.Univ. of Chicago press.
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