Results 21 to 30 of about 677,100 (167)

On Gamma Ring of Quotients of a Semiprime Gamma Ring

open access: yes, 2017
Bu makalenin amacı yarıasal bir gamma halkasının kesirli gamma halkalarını tanımlamak ve kesirli gamma halkasının bazı özelliklerini araştırmaktır.
Shuliang Huang   +2 more
openaire   +4 more sources

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

open access: yesCumhuriyet Science Journal, 2022
In this paper, orthogonality for symmetric bi-semiderivations is defined and some results are obtained when two symmetric bi-semiderivations are orthogonal.
Damla Yılmaz
doaj   +1 more source

On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

open access: yesJournal of Mathematics, 2023
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities.
Hafedh M. Alnoghashi   +2 more
doaj   +1 more source

A Characterization of Semiprime Rings with Homoderivations

open access: yesJournal of New Theory, 2023
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
doaj   +1 more source

On $gr$-quasi-semiprime submodules [PDF]

open access: yes, 2023
Let $G$ be a group. A ring $R$ is called a graded ring (or $G$-graded ring) if there exist additive subgroups $R_{\alpha }$ of $R$ indexed by the elements $\alpha \in G$ such that $R=\bigoplus_{\alpha \in G}R_{\alpha }$ and $R_{\alpha }R_{\beta ...
Alghueiri, Shatha, Al-Zoubi, Khaldoun
core   +1 more source

Strongly semiprime rings [PDF]

open access: yesPacific Journal of Mathematics, 1975
For a ring with 1, we show that every proper kernel functor generates a proper torsion radical if and only if the ring is a finite subdirect product of strongly prime (also called ATF) rings. This is equivalent to every essential right ideal containing a finite set whose right annihilator is zero.
openaire   +2 more sources

Classical quotient rings of generalized matrix rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1.
David G. Poole, Patrick N. Stewart
doaj   +1 more source

On Semiprime P.I. Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the ...
openaire   +2 more sources

Free actions on semiprime rings [PDF]

open access: yesMathematica Bohemica, 2008
Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar   +1 more
openaire   +1 more source

Free actions on semiprime rings [PDF]

open access: yes, 1973
summary:We identify some situations where mappings related to left centralizers, derivations and generalized $(\alpha ,\beta )$-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation $T$, of a semiprime ring
Samman, Mohammad S.   +4 more
core   +1 more source

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