Results 81 to 90 of about 179 (118)

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  

Derivations on semiprime rings [PDF]

Bulletin of the Australian Mathematical Society, 1996
The main result: Let R be a 2-torson free semiprime ring and let D: R → R be a derivation. Suppose that [[D(x), x], x] = 0 holds for all x ∈ R. In this case [D(x), x] = 0 holds for all x ∈ R.
openaire   +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

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

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

On prime and semiprime near-rings with derivations

International Journal of Mathematics and Mathematical Sciences, 1997
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
doaj   +1 more source

On σ-primeness and σ-semiprimeness in rings with involution

Journal of New Results in Science
This study introduces the structure of $\left\vert\mathcal{S}_{R}^{\sigma}\right\vert $-$\sigma$-semiprime ring, $\left\vert \mathcal{S}_{R}^{\sigma}\right\vert $-$\sigma$-prime ring, and source of $\sigma$-primeness , which have not been previously ...
Barış Albayrak, Didem Karalarlıoğlu Camcı, Didem Yeşil   +2 more
doaj   +1 more source

Asymptotic aspect of derivations in Banach algebras. [PDF]

J Inequal Appl, 2017
Roh J, Chang IS.
europepmc   +1 more source