Results 1 to 10 of about 601,809 (253)

On Graded 2-Prime Ideals

Mathematics, 2021
The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Rashid Abu-Dawwas, Malik Bataineh
exaly   +4 more sources

Prime Ideals of Transitive BE-Algebras [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2022
The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras.
Prabhakar M. Bala, Vali S. Kalesha, Rao M. Sambasiva   +2 more
doaj   +2 more sources

M− Prime Ideals in Lattices and Their M− Prime Spectrum

International Journal of Mathematics and Mathematical Sciences
In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also ...
Natnael Teshale Amare
doaj   +2 more sources

Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings

Axioms
In this article, we define and study graded 1-absorbing prime ideals and graded weakly 1-absorbing prime ideals in non-commutative graded rings as a new class of graded ideals that lies between graded prime ideals (graded weakly prime ideals) and graded ...
Rashid Abu-Dawwas, Azzh Alshehry
exaly   +3 more sources

On S-2-Prime Ideals of Commutative Rings

Mathematics
Prime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz, Bayram Ali Ersoy, Ünsal Tekir, Ece Yetkin Çelikel   +3 more
doaj   +2 more sources

ON n-PRIME IDEALS

, 2018
In this article, we introduce an intermediate classes of ideals between prime and quasi primary ideals, denoted by n-prime, and we focus on some properties of n-prime ideals.
Sevim, Esra Sengelen, Koc, Suat
core   +7 more sources

New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]

Jisuanji kexue yu tansuo, 2022
The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
doaj   +1 more source

Intuitionistic fuzzy weakly prime ideals [PDF]

Journal of Hyperstructures, 2017
In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries.
Tu˘gba Arkan, Serkan Onar, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +1 more source

On fuzzy quasi-prime ideals in near left almost rings [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings.
Pairote Yiarayong
doaj   +1 more source

Quotient rings satisfying some identities

Cubo, 2023
This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
doaj   +1 more source