Year: 1400
COI: JR_KJMMRC-10-2_001
Language: EnglishView: 44
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Abstract:
Let R and R۰ be two unital rings such that R contains a non-trivial idempotent P۱. If R is a prime ring, we characterize the form of bijectivemap ' : R ! R۰ which satis es '(ABP) = '(A)'(B)'(P), for every A;B ۲ Rand P ۲ fP۱; P۲g, where P۲ := I P۱ and I is the unit member of R. It isshown that ' is an isomorphism multiplied by a central element. Finally, wecharacterize the form of ' : R ! R which satis es '(P)'(A)'(P) = PAP,for every A ۲ R and P ۲ fP۱; P۲g.
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This Paper COI Code is JR_KJMMRC-10-2_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:https://civilica.com/doc/1296086/
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