Results 11 to 20 of about 923,744 (302)
On Prime Near-Rings with Generalized Derivation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 Let N be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center Z. We prove that if N admits a nonzero generalized derivation f such that f(N)⊆Z, then N is a commutative ring. We also discuss some related properties.
Howard E. Bell
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On the generalized Jacobi equation. [PDF]
, 2008 The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick, Volker
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Generalized Derivations on Prime Near Rings
International Journal of Mathematics and Mathematical Sciences, 2013 Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left generalized) derivation with associated derivation d on N if f(xy)=f(x)y+xd(y) (resp., f(xy)=d(x)y+xf(y)) for all x,y∈N.
Asma Ali, Howard E. Bell, Phool Miyan
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COMMUTATIVITY FOR THE WEAKLY RIGHT CANCELLATIVE SEMIRINGS: AN ENTIRELY NOVEL CATEGORY OF SEMIRINGS AND A WEAK CONDITION FOR COMMUTATIVITY RESEARCH [PDF]
Journal of Algebraic SystemsThe goal of this study is to provide an innovation for commutativity research that is less than the strong condition prime ring. This paper will describe weakly right cancellative semirings and examine how commutativity and generalized derivations apply ...
Kamal Charrabi Charrabi +2 more
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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Fuzzy Optimization and Modeling, 2022 In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated.
Rohollah Bakhshandeh, Isa Bakhshandeh
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The automorphism groups and derivation algebras of two-dimensional algebras [PDF]
, 2018 The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are ...
Bekbaev, Ural +2 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
Ick-Soon Chang +2 more
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Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras
Special Matrices, 2018 Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N. +2 more
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AN IDENTITY WITH GENERALIZED DERIVATIONS
Journal of Algebra and Its Applications, 2009 Let R be a prime ring that is not commutative and such that R ≇ M2( GF (2)), let D, G be two generalized derivations of R, and let m, n be two fixed positive integers. Then D(xm)xn= xnG(xm) for all x ∈ R iff the following two conditions hold: (1) There exists w ∈ Q, the symmetric Martindale quotient ring of R, such that D(x) = xw and G(x) = wx for all ...
Lee, T.-K., Zhou, Y.
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