Results 1 to 10 of about 17,093 (218)
Some properties of 2-absorbing primary ideals in lattices [PDF]
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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Graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
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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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CLASSICAL 2-ABSORBING SECONDARY SUBMODULES [PDF]
Journal of Algebraic Systems, 2020 In this work, we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules.
F. Farshadifar
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Generalizations of prime fuzzy ideals of a lattice [PDF]
Journal of Hyperstructures, 2020 As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil +1 more
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1-absorbing primary submodules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary submodules. A proper submodule N of M is said to be a 1-absorbing primary
Celikel Ece Yetkin
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On graded WAG2-absorbing submodule
Математичні Студії, 2022 Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded $WAG2$-absorbing submodule. A number of results concerning of these classes of graded submodules
K. Al-Zoubi, Mariam Al-Azaizeh
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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.
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On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ2 ∈ I.
Alhazmy Khaled +3 more
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On the 2-absorbing ideals and zero divisor graph of equivalence classes op zero divisors [PDF]
Journal of Hyperstructures, 2014 Let R be a commutative ring, I be a 2-absorbing ideal of R and let I = Q1 ∩ · · · ∩ Qn (n ≥ 2) with √Qi = Pi for i = 1, · · · , n, be a minimal primary decomposition of I. Let ΓE(R/I) denote the graph of equivalence classes of zero divisors of R/I. It is
Sh. Payrovi, S. Babaei
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