Results 41 to 50 of about 923,744 (302)

Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]

, 2007
Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur, Bell, Howard E., Howard E. Bell, Nadeem-ur Rehman   +3 more
core   +1 more source

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, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

Journal of Mathematics, 2023
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities.
Hafedh M. Alnoghashi, Sabah Naji, Nadeem ur Rehman   +2 more
doaj   +1 more source

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, Hari Baskar Balasubramanian, Amir Pasokh, Marietta Zille   +3 more
wiley   +1 more source

Information Inequalities via Submodularity and a Problem in Extremal Graph Theory

Entropy, 2022
The present paper offers, in its first part, a unified approach for the derivation of families of inequalities for set functions which satisfy sub/supermodularity properties.
Igal Sason
doaj   +1 more source

On derivations and generalized derivations of bitonic algebras

Applicable Analysis and Discrete Mathematics, 2018
We introduce the notion of bitonic algebras as a generalization of dual BCCalgebras, and define the notion of (r,l)-derivations, (l,r)-derivations and generalized (r,l) and (l,r)-derivations on the bitonic algebras. Then we study the properties of the derivations and the generalized derivations on the bitonic algebras and the commutative ...
Yon, Y.H., Ayar Ozbal, S.
openaire   +4 more sources

Cohomologies and generalized derivation extensions of n-Lie algebras

, 2021
A cohomology theory, associated to a n-Lie algebra and a representation space of it, is introduced. It is observed that this cohomology theory is qualified to encode the generalized derivation extensions, and that it coincides, for n = 3, with the known ...
Sütlü, Serkan, Ateşli, Begüm, Esen, Oğul   +2 more
core   +1 more source

Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation

FEBS Letters, EarlyView.
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang, Ruslana Romaniuk, Hristo L. Svilenov   +2 more
wiley   +1 more source

Generalized Projective product of semi-rings

Wasit Journal of Computer and Mathematics Science
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
doaj   +1 more source

Partial depletion of plasminogen activator inhibitor‐1 decreases subcutaneous fat cell hypertrophy and liver cholesterol in high‐fat‐fed female mice

FEBS Letters, EarlyView.
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante, Robert Sharp, Pradip K. Saha, Elizabeth S. Anaya, Elizabeth L. Lieu, Evelyn L. de Groot, Pooja Patel, Mi Jeong Heo, Aaron R. Cox, Kang Ho Kim, Sean M. Hartig   +10 more
wiley   +1 more source