Frequent Acquisition of Glycoside Hydrolase Family 32 (GH32) Genes from Bacteria via Horizontal Gene Transfer Drives Adaptation of Invertebrates to Diverse Sources of Food and Living Habitats. [PDF]
Cheng X+6 more
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Maximizing torque per volume index for SHESM based on two-dimensional method and meta-heuristic optimization algorithms. [PDF]
Hosseinpour A+3 more
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Extendable high gain low current/high pulse modified quadratic-SEPIC converter for water treatment applications. [PDF]
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On the Stability of Jordan *-Derivation Pairs [PDF]
In this article, the Hyers–Ulam stability of Jordan *-derivation pairs for the Cauchy additive functional equation and the Cauchy additive functional inequality is proved. A fixed point method to establish of the stability and the superstability for Jordan *-derivation pairs is also employed.
Abasalt Bodaghi+2 more
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Jordan derivation of certain Jordan matrix algebras
Linear and Multilinear Algebra, 2008Let R be an arbitrary 2-torsionfree commutative ring, M(n, R) the matrix algebra consisting of all n × n matrices over R, S(n, R) (resp., D(n, R)) the subset of M(n, R) consisting of all symmetric (resp., diagonal) ones. In this article, we first determine all the Jordan subalgebras of S(n, R) containing D(n, R), then for any given Jordan subalgebra of
Qian Hu, Dengyin Wang, Chunguang Xia
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Derivation and Jordan operators
Integral Equations and Operator Theory, 1997VX e s fA(X) = AX - XA; we denote R(~A), R(~A)- and {A}' respectively the range, the norm closure of the range and the kernel of ~A. We denote Af = {A e/:(g) : R(~A)- (2 {A*}' = {0}}. If H is finite-dimensional, Af = s If H is infinite-dimensional, this equality does not hold. So a reasonable purpose is to determine what elements are in N.
Ameur Seddik, J. Charles
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Jordan derivations of alternative rings
Communications in Algebra, 2019AbstractLet R be a unital alternative ring with nontrivial idempotent and D:R→R be a Jordan derivation.
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Nonlinear ξ-Jordan triple *-derivation on prime *-algebras
Rocky Mountain Journal of Mathematics, 2022Let A be a prime ∗-algebra and let ξ ∈ C \ {0,±1}. In this paper, it is proved that a mapping φ : A → A satisfies φ(A ξ B ξ C) = φ(A) ξ B ξ C +A ξ φ(B) ξ C +A ξ B ξ φ(C) for all A,B,C ∈ A if and only if φ is an additive ∗-derivation and φ(ξA) = ξφ(A) for
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A note on nonlinear mixed Jordan triple derivation on *-algebras
Communications in Algebra, 2022Let be a unital *-algebra containing a non-trivial projection. In this paper, it is shown that a map Γ: such that for all . Then Γ is an additive *-derivation.
N. Rehman, Junaid Nisar, M. Nazim
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