Results 31 to 40 of about 23,078 (295)

Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
doaj   +1 more source

An investigation of group action on intuitionistic fuzzy primary and semiprimary ideals of Γ-ring [PDF]

Notes on IFS
This article is a continuation of the author’s earlier work [11]. Here we extend the study of group actions on intuitionistic fuzzy structures by focusing on intuitionistic fuzzy primary and semiprimary ideals of Γ-rings.
Poonam Kumar Sharma
doaj   +1 more source

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

Complexity, 2023
In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale.
Saqib Mazher Qurashi, Muhammad Gulzar, Rani Sumaira Kanwal, Dilruba Akter, Muhammad Shawaiz Safdar   +4 more
doaj   +1 more source

2-Absorbing Semiprimary Fuzzy Ideal of Commutative Rings

Journal of Mathematical Sciences and Modelling, 2019
In this work, we introduce the notion of 2-absorbing semiprimary fuzzy  ideal which is a generalization of semiprimary fuzzy ideal. Let $ R $ be a ring. Then the nonconstant fuzzy ideal $ \mu $ is called a 2-absorbing semiprimary fuzzy ideal if  $ \sqrt{\
Deniz Sönmez, Gürsel Yeşilot, Serkan Onar, Bayram Ali Ersoy   +3 more
doaj   +1 more source

Fuzzy Weakly 2-Absorbing Ideals of a Lattice

Discussiones Mathematicae - General Algebra and Applications, 2022
As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice.
Nimbhorkar Shriram K., Patil Yogita S.
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
doaj   +1 more source

On graded strongly quasi primary ideals

, 2022
In this article, we introduce graded strongly quasi primary ideals which is an intermediate class of graded primary ideals and graded quasi primary ideals. Let G be a group with identity e, R be a G-graded commutative ring with nonzero unity 1 and P be a
TEKİR, ÜNSAL
core   +1 more source

Almost δ-primary ideals in a commutative ring [PDF]

Journal of Hyperstructures
In this paper, our research sheds new light on generalized ideals, significantly advancing the state of knowledge in ring theory. We introduce an almost δ-primary ideal which unifies an almost prime ideal and an almost primary ideal.
Jaya Nehete, Yogita Patil
doaj   +1 more source

Some notes on graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad, Abu-Dawwas Rashid, Al-Rashdan Majd   +2 more
doaj   +1 more source

ON STRONGLY QUASI PRIMARY IDEALS

, 2019
In this paper, we introduce strongly quasi primary ideals which is an intermediate class of primary ideals and quasi primary ideals. Let R be a commutative ring with nonzero identity and Q a proper ideal of R.

core   +1 more source