Boletim da Sociedade Paranaense de Matemática (Oct 2020)

Additivity of maps preserving triple product on *-ring

  • Ali Taghavi,
  • Mehran Razeghi,
  • Mojtaba Nouri,
  • Vahid Darvish,
  • C. Li

DOI
https://doi.org/10.5269/bspm.40370
Journal volume & issue
Vol. 39, no. 5

Abstract

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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.