On Jordan triple α-* centralizers of semiprime rings

• Autorzy: Ashraf M. , Mozumder M.R. , Khan A.
• Języki publikacji: EN

Abstrakty

EN

Let R be a 2-torsion free semiprime ring equipped with an involution *. An additive mapping T : R → R is called a left (resp. right) Jordan α-* centralizer associated with a function α : R → R if T(x2) = T(x)α(x*) (resp. T(x2) = α(x*)T(x)) holds for all x (…) R. If T is both left and right Jordan α-* centralizer of R, then it is called Jordan α-* centralizer of R. In the present paper it is shown that if α is an automorphism of R, and T : R → R is an additive mapping such that 2T(xyx) = T(x)α(y*x*) + α(x*y*)T(x) holds for all x; y (…) R, then T is a Jordan α-* centralizer of R.

Słowa kluczowe

EN

semiprime ring; derivation; involution; centralizer; Jordan α-* centralizers

PL

pochodne; potęgowanie; centralizator; centralizator Jordana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 1
• Strony: 130--136
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Ashraf M.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Mozumder M.R.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Khan A.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Bibliografia

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