Results 51 to 60 of about 4,914,484 (359)

Jordan and Jordan higher all-derivable points of some algebras [PDF]

Linear and Multilinear Algebra, 2013
In this paper, we characterize Jordan derivable mappings in terms of Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest $\mathcal{N}$ on a Banach $X$ with the ...
Zhidong Pan, Qihua Shen, Jiankui Li
openaire   +3 more sources

Jordan derivations on semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
openaire   +2 more sources

An Algebraic Roadmap of Particle Theories

Annalen der Physik, Volume 537, Issue 4, April 2025.
The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley   +2 more sources

Higher Jordan triple derivations on ∗-type trivial extension algebras

AIMS Mathematics
In this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum ...
Xiuhai Fei, Zhonghua Wang , Cuixian Lu, Haifang Zhang   +3 more
doaj   +1 more source

Characterization of (α,β) Jordan bi-derivations in prime rings

AIMS Mathematics
Let $ \mathfrak{S} $ be a prime ring with automorphisms $ \alpha, \beta $. A bi-additive map $ \mathfrak{D} $ is called an ($ \alpha, \beta $) Jordan bi-derivation if $ \mathfrak{D}(k^2, s) = \mathfrak{D}(k, s)\alpha(k) + \beta(k) \mathfrak{D}(k, s) $.
Wasim Ahmed , Amal S. Alali, Muzibur Rahman Mozumder   +2 more
doaj   +1 more source

On Jordan triple (σ,τ)-higher derivation of triangular algebra

Special Matrices, 2018
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad, Jabeen Aisha, Parveen Nazia   +2 more
doaj   +1 more source

A theorem on the derivations of Jordan algebras [PDF]

Proceedings of the American Mathematical Society, 1951
The restriction on the dimensionality of the simple components arises from the fact that the (3-dimensional) central simple Jordan algebra of all 2 X 2 symmetric matrices has for its derivation algebra the abelian Lie algebra of dimension 1. However, most simple Jordan algebras over F have simple derivation algebras, and all except those of dimension 3
openaire   +1 more source

Salt‐Compact Albumin as a New Pure Protein‐based Biomaterials: From Design to In Vivo Studies

Advanced Healthcare Materials, Volume 14, Issue 7, March 14, 2025.
A new class of materials built entirely of native albumin protein is designed using a simple protocol based on salt‐assisted compaction, breaking with current crosslinking strategies. This green process leads, surprisingly, to water‐insoluble handable materials with high preservation of their native protein structures and Young's modulus close to that ...
Eya Aloui, Jordan Beurton, Claire Medemblik, Ludivine Hugoni, Igor Clarot, Ariane Boudier, Youri Arntz, Marcella De Giorgi, Jérôme Combet, Guillaume Fleith, Eric Mathieu, Naji Kharouf, Leyla Kocgozlu, Benoît Heinrich, Damien Favier, Michael Brender, Fouzia Boulmedais, Pierre Schaaf, Benoît Frisch, Philippe Lavalle   +19 more
wiley   +1 more source

On Generalized Left Derivation on Semiprime Rings [PDF]

Engineering and Technology Journal, 2016
Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
doaj   +1 more source

Maps on $ C^\ast $-algebras are skew Lie triple derivations or homomorphisms at one point

AIMS Mathematics, 2023
In this paper, we show that every continuous linear map between unital $ C^\ast $-algebras is skew Lie triple derivable at the identity is a $ \ast $-derivation and that every continuous linear map between unital $ C^\ast $-algebras which is a skew Lie ...
Zhonghua Wang, Xiuhai Fei
doaj   +1 more source