Results 71 to 80 of about 5,200,905 (357)
Approximation of derivations and the superstability in random Banach ∗-algebras
Advances in Difference Equations, 2018 We prove that approximations of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point method. Furthermore, we show that approximations of quadratic ∗-derivations on random Banach ∗-algebras are exactly quadratic ...
Reza Saadati, Choonkil Park
doaj +1 more source
Approximately inner derivations
, 2007 Let $\alpha$ be an approximately inner flow on a $C^*$ algebra $A$ with generator $\delta$ and let $\delta_n$ denote the bounded generators of the approximating flows $\alpha^{(n)}$.
Bratteli, Ola +2 more
core +2 more sources
Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia
FEBS Letters, EarlyView.This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley +1 more source
On the stability of J$^*-$derivations
, 2009 In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J ...
A. Ebadian +25 more
core +2 more sources
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Automorphisms and derivations in prime rings [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1999 Let R be a non-commutative ring, I a non-zero two-sided ideal of R and f a mapping on R such that f([x, y])−[x, y] is zero or invertible for every x, y ∈ I. If R is a prime ring and f a non-trivial automorphism or a non-zero derivation on R then either R
Vincenzo De Filippis
doaj
Derivations of Hilbert Algebras
International Journal of Analysis and Applications, 2023 In this paper, we introduce the notions of (l, r)-derivations, (r, l)-derivations, and derivations of Hilbert algebras and investigate some related properties. In addition, we define two subsets for a derivation d of a Hilbert algebra X, Ker d(X) and Fix
Aiyared Iampan +3 more
doaj +1 more source
1,3-Diyne Chemistry: Synthesis and Derivations
, 2014 Conjugated diynes have attracted more and more attention not only for their unique rod like structures and wide existence in nature product, but also the abundant properties and derivations of them.
W. Shi, A. Lei
semanticscholar +1 more source
Approximate derivations of order $n$
, 2016 The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order derivations is stable.
Gselmann, Eszter
core +1 more source