Results 71 to 80 of about 450,444 (294)

Group rings of graded rings. applications

open access: yesJournal of Pure and Applied Algebra, 1984
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.
openaire   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

open access: yesFEBS Letters, EarlyView.
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

open access: yesApplied General Topology
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
doaj   +1 more source

Control subgroups and birational extensions of graded rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
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
doaj   +1 more source

On monoid graded local rings

open access: yesJournal of Pure and Applied Algebra, 2012
24 pages with a few corrections and minor ...
openaire   +2 more sources

The human gut microbiome across the life course

open access: yesFEBS Letters, EarlyView.
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

open access: yesAKCE International Journal of Graphs and Combinatorics
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
doaj   +1 more source

Degradation mechanism of the von Willebrand factor A2 domain by nattokinase

open access: yesFEBS Letters, EarlyView.
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

open access: yesFEBS Letters, EarlyView.
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

open access: yes, 2022
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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