Results 11 to 20 of about 17,093 (218)
Generalization of 2-absorbing quasi primary ideals [PDF]
Novi Sad Journal of Mathematics, 2021 In this article, we introduce and study the concept of $ϕ$-2-absorbing quasi primary ideals in commutative rings. Let $R$ be a commutative ring with a nonzero identity and $L(R)$ be the lattice of all ideals of $R$. Suppose that $ϕ:L(R)\rightarrow L(R)\cup\left\{ \emptyset\right\} $ is a function.
Uğurlu, Emel Aslankarayiğit +2 more
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On 2‐Absorbing Primary Fuzzy Ideals of Commutative Rings [PDF]
Mathematical Problems in Engineering, 2017 In this work, we give a characterization of generalizations of prime and primary fuzzy ideals by introducing 2‐absorbing fuzzy ideals and 2‐absorbing primary fuzzy ideals and establish relations between 2‐absorbing (primary) fuzzy ideals and 2‐absorbing (primary) ideals. Furthermore, we give some fundamental results concerning these notions.
Deniz Sönmez +4 more
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Generalizations of prime intuitionistic fuzzy ideals of a lattice [PDF]
Notes on IFSAs a generalization of the concepts of an intuitionistic fuzzy prime ideal and a prime intuitionistic fuzzy ideal, the concepts of an intuitionistic fuzzy 2-absorbing ideal and a 2-absorbing intuitionistic fuzzy ideal of a lattice are introduced.
Poonam Kumar Sharma
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On 2-Absorbing Primary Submodules of Modules over Commutative Rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 All rings are commutative with 1 ≠ 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing primary ideals of rings. Let M be an R-module. A proper submodule N of an
Mostafanasab Hojjat +3 more
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Neutrosophic 2-absorbing primary ideals on lattices
Logic Journal of the IGPLAbstract Recent advances in neutrosophic lattice theory have highlighted its potential to model uncertainty, indeterminacy, and inconsistency more effectively than classical and intuitionistic fuzzy approaches. Building upon foundational studies that introduced neutrosophic lattices and their extensions through soft structures ...
Salih Yazar +3 more
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2-absorbing primary vague weakly completely ideals
, 2022 Summary: In commutative vague algebra, the primary ideals are the remarkably weighty structures. Gau et al. proposed the idea of vague sets as an extension of fuzzy set theory. The aim of this work is to introduce and characterize 2-absorbing primary vague weakly completely ideals of commutative rings as a generalization of primary vague ideals and ...
Sema, Rigena, Onar, Serkan, Hila, Kostaq
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
ON 2-ABSORBING $\delta$-PRIMARY GAMMA-IDEAL OF GAMMA RING [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In this paper, the notion of 2-absorbing δ-primary Γ-ideal of Γ-ring is introced which unify 2-absorbing Γ-ideal and 2-absorbing δ-primary Γ-ideal, and several properties are investigated.Here δ is a mapping that assigns to each Γ-ideal J a Γ-ideal δ(J) of the same Γ-ring such that :(1) (I ∫ J (M )) (I Δ δ (I)), (2) (I, J ∫ J(M ))(I ⇒ Δ(I) δ(J)), where
Mohamed Youssfi Elkettani, Ahmed Kasem
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A study on intuitionistic fuzzy 2-absorbing primary ideals in Г-ring
Notes on Intuitionistic Fuzzy Sets, 2022 In this paper, we initiate the study of a generalization of intuitionistic fuzzy primary ideals in Γ-ring by introducing intuitionistic fuzzy 2-absorbing primary ideals. We investigate the structural characteristics of intuitionistic fuzzy 2-absorbing primary ideals and study their properties.
P. K. Sharma, Hem Lata, Nitin Bharadwaj
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source