Jordan structure on prime rings with centralizers

• Autorzy: Majeed A. , Asmaiel H.
• Języki publikacji: EN

Abstrakty

EN

Our object in this paper is to study the generalization of Borut Zalar result in [1] on Jordan centralizer of semiprime rings by prove the following result: Let R be a prime of characteristic different from 2, and U be a Jordan ideal of R. If T is an additive mapping from R to itself satisfying the following condition T(ur + ru) = uT(r) + T(r)u, then T(ur) = uT(r), for all r is an element of R, u is an element of U.

Słowa kluczowe

EN

prime ring; semiprime ring; Jordan ideal; Jordan centralizer; centralizer; centralizer Jordan derivation; homomorphism

PL

pierścień pierwszy; półpierścień pierwszy; ideał Jordana; centralizator; centralizator Jordana; homomorfizm; teoria liczb

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 3
• Strony: 529--536
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Majeed A.

autor

Asmaiel H.

• Department of Mathematics College of Science Baghdad University Baghdad, Iraq

Bibliografia

• [1] B. Zalar, On centralizer of semiprime rings, Comment. Math. Univ. Carolinae 32, V.4, (1991), 609-614.
• [2] I. N. Herstein, Topics in Ring Theory, Univ. of Chicago Press, Chicago, (1969).
• [3] I. N. Herstein, Rings with Involution, Univ. of Chicago Press, Chicago, (1967).
• [4] J. Vukman, An identity related to centralizers in semiprime rings, Comment. Math. Univ. Carolinae 40, V. 3, (1999), 447-456.
• [5] N. M. Shammu, Some results on Jordan structure of prime rings, Msc. Thesis from Baghdad University. College of Science, (1979).
• [6] R. Awtar, Lie and Jordan structure in prime rings with derivation, Proc. Amer. Math. Soc, V.(41), No. 1, (1973).
• [7] R. Awtar, Jordan structure in semiprime rings, Cand. J. Math.3, V. 28, No. 5, (1979), 1067-1072.