Results 101 to 110 of about 475 (163)

On Generalized Derivations of Semiprime Rings [PDF]

open access: yes, 2010
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R , we obtain R contains a non-zero central ideal .
Mehsin Jabel Atteya
core  

Maximal quotients of semiprime PI-algebras [PDF]

open access: yes, 1974
J. Fisher [3] initiated the study of maximal quotient rings of semiprime PI-rings by noting that the singular ideal of any semiprime Pi-ring R is 0; hence there is a von Neumann regular maximal quotient ring Q ( R )
Louis Halle Rowen
core   +1 more source

Semiprime locally (-1, 1) rings with minimal condition [PDF]

open access: yes, 1985
Let L be a left ideal of a right alternative ring A with characteristic ::/=2. If L is maximal and nil, then L is a two-sided ideal. If L is minimal, then it is either a two-sided ideal, or the ideal it generates is contained in the right nucleus of A ...
Smith, H., Hentzel, Irvin
core  

Source of semiprimeness of $\ast$-prime rings

open access: yesJournal 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   +2 more
doaj   +1 more source

Sums of Semiprime, Z, and D L-Ideals in a Class of F-Rings [PDF]

open access: yes, 1990
In this paper it is shown that there is a large class of f-rings in which the sum of any two semiprime i-ideals is semiprime. This result is used to give a class of commutative f-rings with identity element in which the sum of any two z-ideals which are ...
Larson, Suzanne
core   +1 more source

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

open access: yesIbn 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   +3 more
doaj   +1 more source

Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings

open access: yesAxioms
This paper focuses on examining a new type of $n$-additive maps called the symmetric reverse $n$-derivations. As implied by its name, it combines the ideas of $n$-additive maps and reverse derivations, with a $1$-reverse derivation being the ordinary reverse derivation.
Shakir Ali   +4 more
openaire   +2 more sources

On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups

open access: yes, 2011
In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of ...
openaire   +2 more sources

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

open access: yes, 2020
Let be a 2-torsion free ring and let be a noncentral Lie ideal of , and let : → and : → be two generalized derivations of . We will analyse the structure of in the following cases: (a) is prime and ( ) = ( ) for all ∈ and fixed positive integers ̸ = ; (b)
Vincenzo De Filippis   +2 more
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