Results 91 to 100 of about 474 (163)

A Generalization of Source of Semiprimeness

open access: yesJournal of New Theory
This paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in ...
Çetin Camcı   +3 more
doaj   +1 more source

When is a smash product semiprime? A partial answer

open access: yes, 2004
It is an open question whether the smash product of a semisimple Hopf algebra and a semiprime module algebra is semiprime. In this paper we show that the smash product of a commutative semiprime module algebra over a semisimple cosemisimple Hopf algebra ...
Lomp, Christian
core   +1 more source

SEMIPRIME CROSSED PRODUCTS

open access: yes, 2014
. Let R * G denote a crossed product of the group G over the ring R. In this paper, we are again concerned with finding necessary and sufficient conditions for R * G to be semiprime.
D. S. Passman
core  

Sums of semiprime, 𝑧, and 𝑑𝑙-ideals in a class of 𝑓-rings

open access: yes, 1990
In this paper it is shown that there is a large class of f f -rings in which the sum of any two semiprime l l -ideals is semiprime.
Suzanne Larson
core   +1 more source

MODUL SEMIPRIME

open access: yes
Suatu -modul kanan  dikatakan prime jika dan hanya jika untuk setiap submodul , berlaku . -modul kanan  dikatakan semiprime jika dan hanya jika submodul  semiprime. Dalam tulisan ini, diberikan beberapa syarat sehingga didapat pernyataan ;
Suprapto, Suprapto
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

A study of derivable mappings of semiprime rings

open access: yes, 2018
Throughout this note, \(R\) denotes an associative ring and \(C(R)\) be the center of \(R\). In this paper, it isproved that a non-central Lie ideal \(L\) of a semiprime ring \(R\) contains a nonzero ideal of \(R\) and this result isused to obtain ...
Deepak Kumara, Gurninder S. Sandhu
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

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