Results 91 to 100 of about 59,526 (169)

Modules over strongly semiprime ring [PDF]

open access: yesarXiv, 2017
$\textbf{Theorem 1.3.}$ For a given ring $A$ with right Goldie radical $G(A_A)$, the following conditions are equivalent. $\textbf{1)}$ Every non-singular right $A$-module $X$ which is is injective with respect to some essential right ideal of the ring $A$ is an injective module. $\textbf{2)}$ $A/G(A_A)$ is a right strongly semiprime ring.
arxiv  

On nilpotent derivations of semiprime rings

open access: yesJournal of Algebra, 1992
AbstractIn this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R. A derivation d: R → R is called inner if d= ad x for some x ϵ R, where ad x(y) = xy − yx.
openaire   +2 more sources

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

open access: yesHeliyon, 2021
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +1 more source

A note on Jordan left *-centralizers on prime and semiprime rings with involution

open access: yesJournal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad   +2 more
doaj  

On Semiprime Goldie Modules [PDF]

open access: yesarXiv, 2016
For an $R$-module $M$, projective in $\sigma[M]$ and satisfying ascending chain condition (ACC) on left annihilators, we introduce the concept of Goldie module. We also use the concept of semiprime module defined by Raggi et. al. in \cite{S} to give necessary and sufficient conditions for an $R$-module $M$, to be a semiprime Goldie module. This theorem
arxiv  

(,)- Strongly Derivations Pairs on Rings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2016
        Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them.
I. A. Saed
doaj  

The valued Gabriel quiver of a wedge product and semiprime coalgebras [PDF]

open access: yesarXiv, 2010
We make a first approach to the representation theory of the wedge product of coalgebras by means of the description of its valued Gabriel quiver. Then we define semiprime coalgebras and study its category of comodules by the use of localization techniques.
arxiv  

SYMMETRY OF EXTENDING PROPERTIES IN NONSINGULAR UTUMI RINGS [PDF]

open access: yesSurveys in Mathematics and its Applications, 2020
his paper presents the right-left symmetry of the CS and max-min CS conditions on nonsingular rings, and generalization to nonsingular modules. We prove that a ring is right nonsingular right CS and left Utumi if and only if it is left nonsingular left ...
Truong Dinh Tu, Hai Dinh Hoang, Thuat Do
doaj  

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