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Some Additive Maps on Sigma Prime Rings
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The purpose of this paper is to prove some results which are of independent interest and related to additive maps on σ-prime rings. Further, examples are given to demonstrate that the restrictions imposed on the hypotheses of these results are not superfluous.
Abstract
The purpose of this paper is to prove some results which are of independent interest and related to additive maps on σ-prime rings. Further, examples are given to demonstrate that the restrictions imposed on the hypotheses of these results are not superfluous.
참고문헌 (12)
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- I. N. Herstein, "Rings with involution" (1976), Univ. of Chicago Press
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- L. Oukhtite, "An extension of Posners Second Theorem to rings with involution", Int. J. Modern Math, 4, pp.303~308 (2009)
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- L. Oukhtite., "On derivations in -prime rings", Int. J. Algebra, 1, pp.241~246 (2007)
- L. Oukhtite., "Generalized derivations and commutativity of rings with involution", Beitrage Zur Algebra and Geometrie, 51, pp.345~351 (2010)
- E. C. Posner, "Derivations in prime rings", proc. Amer. Math. soc, 8, pp.1093~1100 (1957)
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