Results 101 to 110 of about 2,863 (195)

Semiprime rings with nilpotent Lie ring of inner derivations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions.
Kamil Kular
doaj  

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  

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

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

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

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

On Jordan Triple α-*Centralizers Of Semiprime Rings [PDF]

, 2014
Mohammad Ashraf, Muzibur Rahman Mozumder, Almas Khan   +2 more
openalex   +1 more source

On Centralizers of 2-torsion Free Semiprime Gamma Rings

, 2021
Abdulkareem T. Mutlak, Abulrahman H. Majeed   +1 more
openalex   +2 more sources

ON LEFT α-MULTIPLIERS AND COMMUTATIVITY OF SEMIPRIME RINGS [PDF]

, 2012
Shakir Ali, Shuliang Huang
openalex   +1 more source