On completely 2-absorbing ideals of N-groups

Sahoo, Tapatee; Shetty, Deepak M; Groenewald, N. J.; Harikrishnan, Panackal; Kuncham, Syam Prasad

doi:10.1080/09720529.2021.1892268

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…For instances of non-symmetric cases, Badawi suggested and developed the idea of a 2-absorbing ideal which corresponds to the universality of the prime ideal in [1] and presented it based on the existing structure in [2][3][4][5][6]. Many authors have extended this idea considerably (see, e.g., [7][8][9][10][11]).…”

Section: Introductionmentioning

confidence: 99%

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

et al. 2023

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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. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal.

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Section: Introductionmentioning

confidence: 99%

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

et al. 2023

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On 1-Absorbing Fuzzy Ideals of Commutative Semirings

MEHMET ÖZKAN,

ONAR,

OZKAN

et al. 2023

Journal of Engineering Technology and Applied Sciences

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In this study, our goal is to first examine the algebraic structure of 1-absorbing ideals and apply them on fuzzy sets, and to examine the relationships and algebraic properties between them. In this work, the contribution to the literature, the 1-absorbing fuzzy primary ideal is be examined. We look at some of the features of 1-absorbing fuzzy primary ideals. For instance, we show that I is a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P and I is a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. After that, we explain these theorems with instances.

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On completely 2-absorbing ideals of N-groups

Cited by 2 publications

References 16 publications

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

On 1-Absorbing Fuzzy Ideals of Commutative Semirings

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