Results 11 to 20 of about 748 (225)
On graded 1 -absorbing δ -primary ideals
Proyecciones (Antofagasta)Let G be an abelian group with identity 0 and let R be a commutative graded ring of type G with nonzero unity. Let I(R) be the set of all ideals of R and let δ: I(R)⟶I(R) be a function. Then, according to (R. Abu-Dawwas, M. Refai, Graded δ-Primary Structures, Bol. Soc. Paran. Mat., 40 (2022), 1-11), δ is called a graded ideal expansion of a graded ring
Rashid Abu-Dawwas +3 more
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Multiplicities and Volumes of Filtrations
MathematicsIn this article, we survey some aspects of the theory of multiplicities of mR-primary ideals in a local ring (R,mR) and the extension of this theory to multiplicities of graded families of mR-primary ideals.
Steven Dale Cutkosky
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On Graded 2-Absorbing Quasi Primary Ideals
, 2019 In 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
Uregen, Rabia Nagehan +3 more
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$Gr$-$(2,n)$-ideals in graded commutative rings [PDF]
, 2020 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 +2 more
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The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring [PDF]
, 2021 [EN] Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)).
Salam, Saif, Al-Zoubi, Khaldoun
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On graded primary-like submodules of graded modules over graded commutative rings
, 2021 Let G be a group with identity e. Let R be a G-graded commutative ring andM a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about ...
Al-Zoubi, Khaldoun, Al-Dolat, Mohammed
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On Graded Strongly $1$-Absorbing Primary Ideals
, 2021 Let $G$ be a group with identity $e$ and $R$ be a $G$-graded commutative ring with nonzero unity $1$. In this article, we introduce the concept of graded strongly $1$-absorbing primary ideals. A proper graded ideal $P$ of $R$ is said to be a graded strongly $1$-absorbing primary ideal of $R$ if whenever nonunit homogeneous elements $x, y, z\in R$ such ...
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International Electronic Journal of Algebra, 2020 Summary: In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer domain to the graded case. We generalize several types of prime ideals associated to a module over a ring to the graded case and prove that most of them coincide over a graded Prüfer domain.
ANSARI, Ajim Uddin +2 more
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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
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Molecular Oncology, EarlyView.Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat +8 more
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