Results 41 to 50 of about 299 (69)
Journal of Algebra 322 (2009), 4053-4079, 2008 We investigate solutions for a particular class of linear equations in dendriform algebras. Motivations as well as several applications are provided. The latter follow naturally from the intimate link between dendriform algebras and Rota-Baxter operators, e.g. the Riemann integral or Jackson's q-integral.
arxiv +1 more source
Torsion subgroups, solvability and the Engel condition in associative rings [PDF]
arXiv, 2022 The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.
arxiv
A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings
Annales Mathematicae Silesianae, 2019 Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur +2 more
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On central identities equipped with skew Lie product involving generalized derivations
Journal of King Saud University: Science, 2022 Let R be a *-ring. For any x,y∈R, we denote the skew Lie product of x and y by ▿[x,y]=xy-yx∗. An additive mapping F:R→R is called a generalized derivation if there exists a derivation d such that F(xy)=F(x)y+xd(y) for all x,y∈R.
Shakir Ali +2 more
doaj
On Jordan Derivations of Triangular Algebras [PDF]
arXiv, 2007 In this short note we prove that every Jordan derivation of triangular algebras is a derivation.
arxiv
On Equality of Certain Derivations of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2019 Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita +2 more
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Approximation of additive functional equations in NA Lie C*-algebras
Demonstratio Mathematica, 2018 In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
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A note on noncommutative Poisson structures [PDF]
arXiv, 2005 We introduce a new type of noncommutative Poisson structure on associative algebras. It induces Poisson structures on the moduli spaces classifying semisimple modules. Path algebras of doubled quivers and preprojective algebras have noncommutative Poisson structures given by the necklace Lie algebra.
arxiv
On certain functional equation related to derivations
Open MathematicsIn this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}.
Marcen Benjamin, Vukman Joso
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On Algebraic Multi-Ring Spaces [PDF]
arXiv, 2005 A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics of a multi-ring space are obtained in this paper.
arxiv