Results 61 to 70 of about 168 (124)

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

SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS

Facta Universitatis, Series: Mathematics and Informatics
The first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP-commuting homoderivations.
openaire   +2 more sources

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

Weakly Semiprime Segments in Ordered Semigroups

Mathematics, 2019
Let P 2 ⊂ P 1 be a pair of weakly semiprime ideals of an ordered semigroup ( S , · , ≤ ) . Then, the pair P 2 ⊂ P 1 is called a weakly semiprime segment of S if ⋂ n ∈ N I n ⊆ P 2
Panuwat Luangchaisri, Thawhat Changphas
doaj   +1 more source

Semiprime ideals in general lattices

Journal of Pure and Applied Algebra, 1989
An ideal of a lattice L is called semiprime if for every x,y,z\(\in L\), whenever \(x\wedge y\in I\) and \(x\wedge z\in I\), then \(x\wedge (y\vee z)\in I\). Semiprime filters are dually defined. Main Theorem. Let L be a lattice and I an ideal of L. The following conditions are equivalent: (1) I is semiprime. (2) I is the kernel of some homomorphism of
openaire   +2 more sources

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

Soft ideals of soft ternary semigroups. [PDF]

Heliyon, 2021
Kar S, Dutta I.
europepmc   +1 more source