Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 Demonstratio Mathematica

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: commuting mappings

Sortuj według:

Ogranicz wyniki do:

On alfa-derivations of prime and semiprime rings

Vukman J.

Demonstratio Mathematica

2005

Vol. 38, nr 2

283--290

In this paper we investigate identities with alfa-derivations on prime and semiprime rings. We prove, for example, the following result. If D : R - R is an alfa-derivation of a 2 and 3-torsion free semiprime ring R such that [D(x},x2] = 0 holds, for all x is an element of R, then D maps R into its center. The results of this paper are motivated by the work of Thaheem and Samman [20].

On (α, β)-derivations of semiprime rings

Chaudhry M. A., Thaheem A. B.

Demonstratio Mathematica

2003

Vol. 36, nr 2

283--287

We show that if α and β are centralizing automorphisms and d a centralizing (α, β)-derivation of a semiprime ring R, then d is commuting. Some results on α-derivations and centralizing derivations of semiprime rings follow as applications of this result.

Meir-Keeler type fixed point theorems and dynamics of functions

Pant R. P.

Demonstratio Mathematica

2003

Vol. 36, nr 1

199--206

In the present paper we obtain a common fixed point theorem under a new contractive condition which is independent of the known contractive definitions. In the second fixed point theorem we study the dynamics of a class of functions induced by real numbers and then apply the result to obtain general tests for divisibility of numbers.