Results 91 to 100 of about 1,309,327 (169)

Jordan mappings of semiprime rings II [PDF]

Bulletin of the Australian Mathematical Society, 1991
We describe Jordan homomorphisms and Jordan triple homomorphisms onto 2-torsion free semiprime rings in which the annihilator of any ideal is a direct summand.
openaire   +1 more source

Notes on (α,β)-derivations

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
doaj   +1 more source

On the structure of semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1973
The structure of prime rings has recently been studied by A. W. Goldie, R. E. Johnson, L. Lesieur and R. Croisot. In their main results some sort of finiteness assumption is invariably made. It is shown in this paper that certain semiprime rings are subdirect sums of full rings of linear transformations of a right vector space over a division ring.
openaire   +1 more source

A remark on prime ideals

Extracta Mathematicae, 2020
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
doaj  

A Some Results on Double Cenralizer for Prime and Semiprime Г- rings

Ibn Al-Haitham Journal for Pure and Applied Sciences
             The goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the ...
Aya Hussein, Abdulahman H. Majeed , Shrooq Bahjat Smeein , Azza I.M.S. Abu-Shams   +3 more
doaj   +1 more source

Derivations of higher order in semiprime rings

International Journal of Mathematics and Mathematical Sciences, 1998
Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
doaj   +1 more source

Source of semiprimeness of $\ast$-prime rings

Journal of Amasya University the Institute of Sciences and Technology
This study constructs a structure $S_{R}^{\ast}$ that had never been studied before and obtained new results by defining a subset $S_{R}^{\ast}$ of $R$ as$S_{R}^{\ast}=\left\{ \left.
Barış Albayrak, Didem Yeşil, Didem Karalarlıoğlu Camcı   +2 more
doaj   +1 more source

A note on semiprime rings with derivation

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
doaj   +1 more source

Congruence Extensions in Congruence–Modular Varieties

Axioms
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences with respect to the term condition commutator.
George Georgescu, Leonard Kwuida, Claudia Mureşan   +2 more
doaj   +1 more source

Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings

International Journal of Mathematics and Mathematical Sciences, 2014
Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis, Nadeem UR Rehman, Abu Zaid Ansari   +2 more
doaj   +1 more source