Additivity of maps preserving triple product on *-ring
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Published:2021-01-01
Issue:5
Volume:39
Page:25-41
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ISSN:2175-1188
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Container-title:Boletim da Sociedade Paranaense de Matemática
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language:
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Short-container-title:B Soc Paran Mat
Author:
Taghavi Ali,Razeghi Mehran,Nouri Mojtaba,Darvish Vahid,Li C.
Abstract
Let A and B be two prime -rings. Let : A ! B be a bijective and satises (A P P) = (A) (P) (P); for all A 2 A and P 2 fI; P1; I P1g where P1 is a projection in A. The operation between two arbitrary elements S and T in A is dened as S T = ST +TS for 2 f1; 1g. Then, if (I) is projection, we show that is additive.
Publisher
Sociedade Paranaense de Matematica
Subject
General Mathematics