Results 11 to 20 of about 105,202,013 (208)
$Gr$-$(2,n)$-ideals in graded commutative rings [PDF]
summary:Let $G$ be a group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we introduce and study the concept of graded $(2,n)$-ideals of $R$. A proper graded ideal $I$ of $R$ is called a graded $(2,n)$-ideal of $R$ if whenever $rst\in
Alghueiri, Shatha +4 more
core +1 more source
Graded ϕ-2-Absorbing and Graded ϕ-2-Absorbing Primary Submodules
The main goal of this article is to explore the concepts of graded ϕ-2-absorbing and graded ϕ-2-absorbing primary submodules as a new generalization of the concepts of graded 2-absorbing and graded 2-absorbing primary submodules. Let ϕ:GS(M)→GS(M)⋃{∅} be
Azzh Saad Alshehry +2 more
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Fuzzy Weakly 2-Absorbing Ideals of a Lattice [PDF]
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 graded G2-absorbing and graded strongly G2-absorbing second submodules
In this paper, we introduce the concepts of graded G2-absorbing and graded strongly G2-absorbing second submodules of graded modules over graded commutative rings.
Shatha Alghueiri +3 more
core +1 more source
On graded $A$-2-absorbing submodules of graded modules over graded commutative rings
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring, $M$ a graded $R$-module and $A\subseteq h(R)$ a multiplicatively closed subset of $R$.
Al-Kaseasbeh, Saba, Al-Zoubi, Khaldoun
core +1 more source
On graded classical 2-absorbing submodules of graded modules over graded commutative rings [PDF]
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 will in- troduce the concept of graded classical 2-absorbing submodules of graded modules over a graded commutative ring as a ...
Al-Azaizeh, Mariam, Al-Zoubi, Khaldoun
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On graded 2-absorbing and graded weakly 2-absorbing ideals
In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals.
Ceken, Secil +2 more
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Reconstructing enzyme evolution by protein engineering
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
Weakly 2-Absorbing Ideals in Almost Distributive Lattices
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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A nationwide student survey on biochemistry learning resources in Italy
We conducted a survey among Italian university students to investigate their preferred study materials for biochemistry. We then analyzed the collected data to identify these materials. This information may be valuable to the Biochemistry educational community. The graphical abstract was created with Claude (Opus 5.5; Anthropic, 2026).
Anna Marabotti +4 more
wiley +1 more source

