Results 11 to 20 of about 62,208 (302)
Approximation of derivations and the superstability in random Banach ∗-algebras
Advances in Difference Equations, 2018 We prove that approximations of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point method. Furthermore, we show that approximations of quadratic ∗-derivations on random Banach ∗-algebras are exactly quadratic ...
Reza Saadati, Choonkil Park
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Sahand Communications in Mathematical Analysis, 2016 In this article, the notion of $n-$derivation is introduced for all integers $ngeq 2$. Although all derivations are $n-$derivations, in general these notions are not equivalent.
Mohammad Hossein Sattari
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Approximation of Generalized Left Derivations [PDF]
Abstract and Applied Analysis, 2008 We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
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Superstability of derivations on Banach ∗-algebras
Advances in Difference Equations, 2017 In this paper, we show that approximate derivations on Banach ∗-algebras are exactly derivations and also show that approximate quadratic ∗-derivations on Banach ∗-algebras are exactly quadratic ∗-derivations by the fixed point theorem.
Sun Young Jang
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A Characterization of Semiprime Rings with Homoderivations
Journal of New Theory, 2023 This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
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Quotient rings satisfying some identities
Cubo, 2023 This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
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Product of derivations on triangular banach algebras [PDF]
Journal of Hyperstructures, 2017 In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari +1 more
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Derivations of relativistic force transformation equations [PDF]
, 2011 The correct general form of relativistic transformation equations for the three-vector force is derived without using four-vectors, via the relativistic Newton's second law. The four-vector approach to the problem is also presented.
Davidovic, Dragomir +8 more
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Complex Cardinal Numerals and the Strong Minimalist Thesis
Philosophies, 2022 Different analyses of complex cardinal numerals have been proposed in Generative Grammar. This article provides an analysis of these expressions based on the Strong Minimalist Thesis, according to which the derivations of linguistic expressions are ...
Anna Maria Di Sciullo
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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