Results 71 to 80 of about 475 (152)

A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

Journal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

Higher Derivations Satisfying Certain Identities in Rings

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell‐Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx,y∈ZR for all x,y∈R.
Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney, Faranak Farshadifar   +4 more
wiley   +1 more source

Some types of fuzzy ideals in semigroups

مجلة علوم ذي قار, 2019
In this paper ,we study the notion of fuzzy ideal in semigroups and give some properties about it and we reviewed some types of ideals such as (regular,semiprime,(1,2)- ideal,(2,2)-ideal and gives some relationships between them.
Rabee Hadi
doaj   +4 more sources

A Generalization of Source of Semiprimeness

Journal 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, Rasie Mekera, Didem Karalarlıoğlu Camcı, Didem Yeşil   +3 more
doaj   +1 more source

Fuzzy Quasi-Ideals of Ordered Semigroups [PDF]

, 2011
. In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals.
Muhammad Shabir, Asghar Khan
core   +1 more source

The Rough Intuitionistic Fuzzy Ideals of Intuitionistic Fuzzy Subrings in a Commutative Ring

Fuzzy Information and Engineering, 2014
The aim of this paper is to give some definitions of rough intuitionistic fuzzy ideal, rough intuitionistic fuzzy radical, rough prime (primary) intuitionistic fuzzy ideal and rough semiprime intuitionistic fuzzy ideal of an intuitionistic fuzzy subring,
Prasenjit Mandal, A.S. Ranadive
doaj   +1 more source

Semiprime modules with maximum conditions

, 1973
A module RM is semiprime if for each 0 ≠ m ϵ M there exists ƒ ϵ HomR(M, R) with (mƒ)m ≠ 0. In Section 1 semiprime artinian modules are seen to be isomorphic to finite direct sums of minimal left ideals generated by idempotents.
Zelmanowitz, J.
core   +1 more source

Semiprime SF-rings whose essential left ideals are two-sided [PDF]

, 1994
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat?
Du Xhianneng, Zhang Jule
core   +1 more source

A note on Cohn's universal localisation at a semiprime ideal [PDF]

Bulletin of the Australian Mathematical Society, 2004
The universal localisation RΓ(s) at a semiprime ideal S of a left Noetherian ring R was defined and studied by P. M. Cohn. In this note we investigate the interaction between the universal localisation RΓ(s), the Ore localisation at S, and the torsion-theoretic localisation at the injective envelope E(R/S) of the module R(R/S).
openaire   +2 more sources

Sums of z-Ideals and Semiprime Ideals

, 1982
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K}. The relationship between ideals (or submodules) of B and those of B(K) is examined carefully, and this construction is used to find a lattice-ordered ...
Smith, Frank A., Henriksen, Melvin
core