Results 1 to 10 of about 2,642,513 (283)
ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS [PDF]
Journal of Algebraic Systems, 2020 We study primary ideals of the ring $mathcal{R}L$ of real-valued continuous functions on a completely regular frame $L$. We observe that prime ideals and primary ideals coincide in a $P$-frame.
M. Abedi
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Fuzzy weakly irreducible ideals of a ring [PDF]
Journal of Hyperstructures, 2021 In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.This concept is a generalization of the concept of a fuzzy strongly irreducible ideal.
Jyoti A. Khubchandani +1 more
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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
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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 +2 more
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n-absorbing I-primary ideals in commutative rings
Tikrit Journal of Pure Science, 2023 We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and √IP=I√P, then
Sarbast A. Anjuman, Ismael Akray
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On Weakly 1-Absorbing Primary Ideals of Commutative Semirings
Communications in Advanced Mathematical Sciences, 2022 Let $R$ be a commutative semiring with $ 1 \neq0$. In this paper, we study the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal over commutative semirings . A proper ideal $I$ of a semiring $R$ is called a weakly
Ibaa Muraa, Mohammad Saleh
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Some properties of 2-absorbing primary ideals in lattices
AKCE International Journal of Graphs and Combinatorics, 2019 We introduce the concepts of a primary and a 2-absorbing primary ideal and the radical of an ideal in a lattice. We study some properties of these ideals. A characterization for the radical of an ideal to be a primary ideal is given.
Meenakshi P. Wasadikar +1 more
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Different types of primary ideals of near-rings and their graphs [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-
Adnan Muhammad +2 more
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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.
Malik Bataineh, Rashid Abu-Dawwas
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PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE [PDF]
Journal of Algebraic Systems, 2020 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $\mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M ...
H. Bijari +2 more
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