Results 1 to 10 of about 28,055 (250)
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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Intuitionistic fuzzy 2-absorbing ideals of commutative rings [PDF]
Journal of Hyperstructures, 2017 The aim of this paper is to give a definition of an intuitionistic fuzzy 2- absorbing ideal and an intuitionistic fuzzy weaklycompletely 2- absorbing ideal of commutative rings and to give their properties.
sanem yavuz +3 more
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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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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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Weakly 2-Absorbing Ideals in Almost Distributive Lattices
Journal of Mathematics, 2022 The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form ...
Natnael Teshale Amare
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On Graded 2-Absorbing Primary and Graded Weakly 2-Absorbing Primary Ideals
Journal of the Korean Mathematical Society, 2017 Summary: Let \(G\) be a group with identity \(e\) and let \(R\) be a \(G\)-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals.
Khaldoun Al-Zoubi
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On Various 2-absorbing prime ideals in non commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we analyze strongly 2-absorbing prime ideals (shortly strongly 2-API), strongly 2-absorbing weak prime ideals (shortly strongly 2-AWPI) and 2-absorbing weak prime ideals (shortly 2-AWPI) in a non-commutative ring, which represent ...
Palanikumar M. +3 more
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On 2-Absorbing Primary Ideals in Commutative Rings
Bulletin of the Korean Mathematical Society, 2014 Let R be a commutative ring with 1 . In this paper, we introduce the concept of 2-absorbing primary ideal which is a general- ization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever a, b, c ∈ R and abc ∈ I ,t henab ∈ I or ac ∈ √ I or bc ∈ √ I. A number of results concerning 2-absorbing primary ideals and
Unsal Tekir, Ayman Badawi
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2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
Symmetry, 2023 The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory.
Kostaq Hila +2 more
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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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