Additivity of maps preserving triple product on *-ring

Ali Taghavi; Mehran Razeghi; Mojtaba Nouri; Vahid Darvish; C. Li

doi:10.5269/bspm.40370

Ali Taghavi University of Mazandaran https://orcid.org/0000-0001-6230-733X
Mehran Razeghi University of Mazandaran
Mojtaba Nouri University of Mazandaran
Vahid Darvish University of Mazandaran
C. Li Shandong Normal University

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 f􀀀1; 1g. Then, if (I) is projection, we show that is additive.

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