Results 61 to 70 of about 276,111 (308)
A Note on Commutative Nil-Clean Corners in Unital Rings
Известия Иркутского государственного университета: Серия "Математика", 2019 We shall prove that if $R$ is a ring with a family of orthogonal idempotents $\{e_i\}_{i=1}^n$ having sum $1$ such that each corner subring $e_iRe_i$ is commutative nil-clean, then $R$ is too nil-clean, by showing that this assertion is actually ...
P.V. Danchev
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Classes of Commutative Clean Rings [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2010 Let A be a commutative ring with identity and I an ideal of A. A is said to be I-clean if for every element a∈A there is an idempotent e=e 2 ∈A such that a-e is a unit and ae belongs to I. A filter of ideals, say ℱ, of A is Noetherian if for each I∈ℱ there is a finitely generated ideal J∈ℱ such that J⊆I.
Iberkleid, Wolf +1 more
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FEBS Open Bio, EarlyView.KHS‐Cnd peptide is able to impair biofilm formation and disaggregate mature biofilms in Acinetobacter baumannii clinical isolates. Differences in extracellular metabolites reflect changes in biofilm metabolism due to KHS‐Cnd treatment. Among the differentially represented extracellular metabolites upon KHS‐Cnd treatment, the significantly altered ...
Fernando Porcelli +9 more
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FEBS Open Bio, EarlyView.Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li +8 more
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ON CLEAN LAURENT SERIES RINGS [PDF]
Journal of the Australian Mathematical Society, 2013 AbstractHere we prove that, for a $2$-primal ring $R$, the Laurent series ring $R((x))$ is a clean ring if and only if $R$ is a semiregular ring with $J(R)$ nil. This disproves the claim in K. I. Sonin [‘Semiprime and semiperfect rings of Laurent series’, Math. Notes 60 (1996), 222–226] that the Laurent series ring over a clean ring is again clean.
Zhou, Yiqiang, Ziembowski, Michał
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Screening and epitope characterization of Nidogen‐2‐specific nanobodies
FEBS Open Bio, EarlyView.Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen +9 more
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Rings in Which Element is a Sum of the Transformation Elements of Idempotents and Special Elements
Journal of MathematicsIn this article, further generalizations are made for the nil clean ring and the ur-clean ring, obtained as extensions of the clean ring. Firstly, consider rings where each element can be expressed as n idempotents plus one nilpotent, any two commute ...
Xinsong Yang, Jiaxin Liu
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The Strongly Nil-Clean Rings Of Order Two Units [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIf every element of a ring R is the sum of idempotent and nilpotent that commute, then the ring is said to be a strongly nil-clean. Further features of a strongly nil-clean ring are given in this paper.
Samira Toma, Nazar Shuker
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The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
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