Results 71 to 80 of about 450,444 (294)
Group rings of graded rings. applications
A ring R is graded by a group G if \(R=\oplus R(x)\) is a direct sum of the additive subgroups R(x) indexed by the elements \(x\in G\) and if \(R(x)R(y)\subseteq R(xy).\) For example, R could be a group ring S[G] or more generally a crossed product S*G.
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Graded pseudo weakly prime spectrum of graded topological modules
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman +3 more
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Control subgroups and birational extensions of graded rings
In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a ...
Salah El Din S. Hussein
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24 pages with a few corrections and minor ...
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
The graded annihilating submodule graph
In this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern.
Mamoon Ahmed, Fida Moh’d
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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
wiley +1 more source
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Morita equivalence for graded rings
The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and bimodule homomorphisms. A fourth equivalent statement (established later)
Tomforde, Mark +2 more
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