Results 61 to 70 of about 21,031 (277)
Triality Groups Associated with Triple Systems and their Homotope Algebras
Annales Mathematicae Silesianae, 2021 We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
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ON JORDAN IDEALS AND JORDAN DERIVATIONS OF PRIME RINGS
Demonstratio Mathematica, 2004 A classical result by \textit{I. N. Herstein} [Proc. Am. Math. Soc. 8, 1104-1110 (1958; Zbl 0216.07202)] states that a Jordan derivation of a prime ring of characteristic not 2 is a derivation. The main result of the paper shows that the same is true on Jordan ideals of prime rings that are simultaneously subrings.
Ashraf, Mohammad, Nadeem-ur-Rehman
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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 ...
Li, Jiankui, Pan, Zhidong, Shen, Qihua
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Nonlinear Mixed Jordan Triple $ * $-Derivations on $ * $-Algebras
Siberian Mathematical Journal, 2022 Let $\mathcal {A}$ be a unital $\ast$-algebra. For $A, B\in\mathcal{A}$, define by $[A, B]_{*}=AB-BA^{\ast}$ and $A\bullet B=AB+BA^{\ast}$ the new products of $A$ and $B$. In this paper, under some mild conditions on $\mathcal {A}$, it is shown that a map $ :\mathcal {A}\rightarrow \mathcal {A}$ satisfies $ ([A\bullet B, C]_{*})=[ (A)\bullet B, C]_{*
C. Li, D. Zhang
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Australian Journal of Social Issues, EarlyView.ABSTRACT This article reflects on the construction of a supportive community of Black Afro‐diasporic graduate students and their supervisors researching issues relating to race in the field of education in Australia. It draws on the concept of marronage—a term rooted in the fugitive act of becoming a maroon, where enslaved people enacted an escape in ...
Hellen Magoi +6 more
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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Kang Sheon-Young +2 more
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Jordan *-derivations of standard operator algebras [PDF]
Proceedings of the American Mathematical Society, 1994 Let H H be a real or complex Hilbert space, dim H > 1 \dim H > 1 , and B ( H ) \mathcal {B}(H) the algebra of all bounded linear operators on H H .
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Excessive water production in mature oil fields necessitates robust shut‐off treatments, yet conventional polymer gels often fail under high‐temperature and high‐salinity conditions. This study aims to enhance gel thermal stability and mechanical strength by incorporating selenium‐doped Ag/AgO–ZnO nanocomposites synthesized via a novel green ...
Fadhil F. Sead +8 more
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Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2009 We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$.
I. I. Lishchynsky
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On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]
Engineering and Technology Journal, 2011 In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed +1 more
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