Results 21 to 30 of about 94,277 (276)
Generalized derivations of (color) n-ary algebras
, 2015 We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color $n$-ary $\Omega$-algebras. Particularly, we prove some properties of generalized derivations of color $n$-ary algebras; prove that a ...
Kaygorodov, Ivan, Popov, Yury
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A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES
BarekengThis paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations
Ahmad Faisol, Fitriani Fitriani
doaj +1 more source
Journal of Inequalities and Applications, 2009 We discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module. Let 𝒜 be a Banach algebra and X a Banach 𝒜-module, f:X→X and g:𝒜→𝒜.
Huai-Xin Cao, Ji-Rong Lv, J. M. Rassias
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Generalized Derivations of Hyperlattices
Cumhuriyet Science Journal, 2019 In this paper the notion of generalized derivation fora hyperlattice is introduced and some basic properties of them are derived.
Hasret Durna, Seda Oğuz Ünal
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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.
openaire +2 more sources
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
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Clinical Course and Impact of Breaks in Therapy for Children With Relapsed/Refractory Solid Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pediatric relapsed or refractory (R/R) solid tumors carry a dismal prognosis, and postrelapse patient experiences are not well described. We present postrelapse outcomes, including number of R/R events and subsequent therapy regimens.
Matthew T. McEvoy +5 more
wiley +1 more source
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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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
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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