Results 41 to 50 of about 769,088 (289)
Approximate Generalized Cubic *-Derivations
Journal of Function Spaces, 2014 We will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras.
Heejeong Koh, Dongseung Kang
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The human gut microbiome across the life course
FEBS 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
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On superstability of derivations in Banach algebras
Open MathematicsIn this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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Generalized (?, ß)-derivations in rings [PDF]
, 2010 Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez, türevli halkalar hakkında bir genelleştirme yapabilmek amacıyla hazırlanmıştır. Bu amaçla, Bölüm 3 de türevli halkalar, Bölüm 4 de ise (?, ß)-türevli halkalar ile ilgili genel ispatlara yer ...
Vurkaç, Selin
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Vestnik of Samara University. Natural Science Series, 2013 In the paper the questions devoted to generalization of notion of δ-derivation on non-associative algebras. Apart from that new examples of non-trivial δ-derivations for Lie algebras were constructed.
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Composition of generalized derivations as a Lie derivation
Glasnik matematički, 2012 Let R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R, C the extended centroid of R, F and G non-zero generalized derivations of R. If the composition (FG) acts as a Lie derivation on R, then (FG) is a derivation of R and one of the following holds: there exist α C and a U such that F(x)=[a,x] and G(x)=α x, for all x ...
DE FILIPPIS, Vincenzo, SCUDO, GIOVANNI
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Derivations of generalized quaternion algebra
, 2019 The purpose of this paper is to determine derivations of the algebra H-alpha,H-beta of generalized quaternions over the reals and hence to obtain the algebra Der(H-alpha,H-beta) of derivations of H-alpha,H-beta.
Kızıl, Eyüp, Alagöz, Yasemin
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Design and analysis strategies for robust microbiome ageing research
FEBS 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
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
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