Results 111 to 120 of about 1,309,327 (169)

Fuzzy semiprime ideals in Gamma-rings

, 2010
In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy
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Semiprime Torsion Free Rings

Semiprime Torsion Free Rings
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Functional equations related to higher derivations in semiprime rings

Open Mathematics, 2021
We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
O. Ezzat
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Minimal Prime and Semiprime Submodules

Babylonian Journal of Mathematics, 2023
Prime and semiprime submodules are important generalizations of prime and semiprime ideals to module theory over commutative rings. However, minimal or smallest prime/semiprime submodules have received comparatively less attention.
R. M. Al-Masroub, Mahmood S. Fiadh
semanticscholar   +1 more source

On commuting additive mappings on semiprime rings

, 2020
The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring.
Siriporn Lapuangkham, U. Leerawat
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Centralizing Mappings of Semiprime Rings

Canadian Mathematical Bulletin, 1987
AbstractLet R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal.
Bell, H. E., Martindale, W. S. III
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On Derivations in Semiprime Rings

Algebras and Representation Theory, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali, Shakir, Huang, Shuliang
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Semiprime Rings with Nilpotent Derivatives

Canadian Mathematical Bulletin, 1981
There has been a great deal of work recently concerning the relationship between the commutativity of a ring JR and the existence of certain specified derivations of R. Bell, Herstein, Procesei, Schacher, Ligh, Martindale, Putcha, Wilson, and Yaqub [1, 2, 6, 8, 9, 10, 11, 12, 14] have studied conditions on commutators which imply the commutativity of ...
Chung, L. O., Luh, Jiang
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Distributive semiprime rings

Mathematical Notes, 1995
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SEMIPRIME LEFT QUASI-MORPHIC RINGS

Journal of Algebra and Its Applications, 2013
A ring R is called left quasi-morphic if {Ra ∣ a ∈ R} = {l(b)∣ b ∈ R} where l(b) denotes the left annihilator of b. In 2007 Camillo and Nicholson showed that if R is quasi-morphic (left and right) and satisfies the ACC on {Ra ∣ a ∈ R}, then R is an artinian principal ideal ring. This is a new characterization of these rings.
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