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Uniformly 2-Absorbing Primary Ideals of Commutative Rings [PDF]
Algebra and Discrete Mathematics, 2020 15 ...
Mostafanasab, H., Tekir, ??., Ulucak, G.
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On 2-Absorbing Quasi-Primary Ideals in Commutative Rings
Communications in Mathematics and Statistics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tekir, Unsal +3 more
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ON ALMOST 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
JP Journal of Algebra, Number Theory and Applications, 2016Summary: Various generalizations of primary ideals of a commutative ring \(R\) with \(1\neq 0\) have been studied. For example, a proper ideal \(I\) of \(R\) is a 2-absorbing primary (resp., weakly 2-absorbing primary) if \(a,b,c \in R\) with \(abc \in I\) (resp., \(0 \neq abc \in I)\) implies \(ab \in I\) or \(ac \in \sqrt 1\) or \( bc \in \sqrt 1 ...
Bataineh, Malik, Al-Nuserat, Obaydah
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On 2-absorbing and weakly 2-absorbing principally right primary ideals
2021Summary: Let \(R\) be a noncommutative ring. The purpose of this note is to investigate the concept of 2-absorbing (resp., weakly 2-absorbing) p right primary ideals generalizing 2-absorbing (resp., weakly 2-absorbing) ideals of noncommutative rings. From [\textit{G. Birkenmeier} et al., Monatsh. Math. 117, No.
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On weakly 2-absorbing δ-primary ideals of commutative rings
Georgian Mathematical Journal, 2018Abstract Let R be a commutative ring with 1 ≠ 0 {1\neq 0}
Badawi, Ayman, Fahid, Brahim
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ON 2-ABSORBING STRONG PRIMARY FUZZY IDEALS IN LATTICES
Missouri Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sujitha, S., Dheena, P., Sivakumar, D.
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Rings in which every 2-absorbing primary ideal is primary
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020All rings considered in this paper are commutative with nonzero identity. According to \textit{A. Badawi} et al. [Bull. Korean Math. Soc. 51, No. 4, 1163--1173 (2014; Zbl 1308.13001)], a proper ideal \(P\) of a commutative ring \(R\) is called 2-absorbing primary if whenever \(a,b,c\in R\) with \(abc\in P,\) then \(ab\in P\) or \(ac\in \sqrt{P}\) or ...
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On Graded 2-Absorbing Quasi Primary Ideals
2022In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a
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Properties of ϕ-δ-primary and 2-absorbing δ-primary ideals of commutative rings
Asian-European Journal of Mathematics, 2018Let [Formula: see text] be a commutative ring with unity [Formula: see text] and let [Formula: see text] be an ideal expansion. In the first part of this paper, we extend the concept of [Formula: see text]-primary ideals to [Formula: see text]-[Formula: see text]-primary ideals, where [Formula: see text] is an ideal reduction and [Formula: see text ...
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Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings
2018The aim of this paper is to give a definition of intuitionistic fuzzy 2-absorbing primary ideal and intuitionistic fuzzy weakly completely 2-absorbing primary ideals of commutative rings and to give their properties. Moreover, we give a diagram of transition between definitions of intuitionistic fuzzy 2- absorbing primary ideals of commutative rings.
YAVUZ, Sanem +4 more
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