Wyniki wyszukiwania - BazTech

Ograniczanie wyników

5 Demonstratio Mathematica

Znaleziono wyników: 5

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: centralizator Jordana

Sortuj według:

Ogranicz wyniki do:

Jordan centralizer maps on trivial extension algebras

Bahmani Mohammad Ali, Ghomanjani Fateme, Shateyi Stanford

Demonstratio Mathematica

2020

Vol. 53, nr 1

58--66

The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan centralizer map on a triangular algebra.

On Jordan triple α-* centralizers of semiprime rings

Ashraf M., Mozumder M.R., Khan A.

Demonstratio Mathematica

2014

Vol. 47, nr 1

130--136

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.

A note on generalized (m, n)-Jordan centralizers

Fošner A.

Demonstratio Mathematica

2013

Vol. 46, nr 2

257--262

The aim of this paper is to define generalized (m, n)-Jordan centralizers and to prove that on a prime ring with nonzero center and char (R) ≠ 6mn(m+n)(m+2n) every generalized (m, n)-Jordan centralizer is a two-sided centralizer.

Jordan structure on prime rings with centralizers

Majeed A., Asmaiel H.

Demonstratio Mathematica

2007

Vol. 40, nr 3

529-536

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.

A note centralizers in semiprime rings

Kosi-Ulbl I.

Demonstratio Mathematica

2005

Vol. 38, nr 2

277--282

The purpose of this paper is to prove the following result: Let R be a (m+n + 2)! and 3m2n + 3mn2 + 4m2 + 4n2 +10mn-torsion free semiprime ring with an identity element and let T : R -R be an additive mapping such that 3T(xm+n+1) = T(x)xm+n + xmT(x)xn + xm=nT(x) is fulfilled for all x is an element R and some fixed nonnegative integers m and n, m+n=0. In this case T is a centralizer.