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When are multiplicative mappings additive? [PDF]
Proceedings of the American Mathematical Society, 1969 Summary: A theorem of \textit{C. E. Rickart} [Bull. Am. Math. Soc. 54, 758--764 (1948; Zbl 0032.24904), Theorem II] is generalized as follows: Theorem. Let \(R\) be a ring containing a family \(\{e_\alpha\mid \alpha\in A\}\) of idempotents which satisfies: (1) \(xR=0\) implies \(x=0\); (2) if \(e_\alpha Rx=0\) for each \(\alpha\in A\), then \(x=0\); (3)
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Demonstratio Mathematica, 2020 In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]
Thanyacharoen Anurak +1 more
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, 2022 Material extrusion additive manufacturing of metal (metal MEX), which is one of the 3D printing processes, has gained more interests because of its simplicity and economics.
Chanun Suwanpreecha, Anchalee Manonukul
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Journal of Inequalities and Applications, 2017 Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with ...
Zhaoqi Ji +3 more
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On the Stability of Cauchy Additive Mappings
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 The following inequality and the two other of similar type is considered: \[ \| f(x)+f(y)+f(z)\| \leq \left\| 2f\left(\frac{x+y+z}{2}\right)\right\| ,\qquad x,y,z\in X\tag{1} \] where \(f\colon X\to Y\), \(X,Y\) are Banach spaces. It is easy to see that a solution of the above inequality has to be an additive mapping.
Jun, Kil-Woung, Roh, Jaiok
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Additive Maps of Rank k Bivectors
The Electronic Journal of Linear Algebra, 2021 Let ${\cal U}$ and ${\cal V}$ be linear spaces over fields $\mathbb{F}$ and $\mathbb{K}$, respectively, such that Dim$\,{\cal U}=n\geqslant 2$ and $\left|\mathbb{F}\right|\geqslant 3$. Let $\bigwedge^2{\cal U}$ be the second exterior power of ${\cal U}$. Fixing an even integer $k$ satisfying $\frac{n-1}{2}\leqslant k\leqslant n$, it is shown that a map
Chooi, Wai Leong, Kwa, Kiam Heong
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Monotonicity is a key feature of genotype-phenotype maps
Frontiers in Genetics, 2013 It was recently shown that monotone gene action, i.e. order-preservation between allele content and corresponding genotypic values in the mapping from genotypes to phenotypes, is a prerequisite for achieving a predictable parent-offspring relationship ...
Arne Bjørke Gjuvsland +4 more
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On orthogonally additive mappings, IV
Aequationes Mathematicae, 1989 [For part II see the first author, Publ. Math. 35, No.3/4, 241-249 (1988; reviewed above).] Let \(\Phi\) denote a field of characteristic \(\neq 2\), X a \(\Phi\)-vector space of dimension \(\geq 2\) and \((Y,+)\) an abelian group. Furthermore let \(\perp\), which is called orthogonality on X, be a binary relation satisfying certain appropriate ...
Rätz, J., Szabó, Gy.
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Generalized Local Operators Between Function Modules
پژوهشهای ریاضی, 2021 Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect ...
Fereshteh Sady, Masoumeh Najafi Tavani
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Crop Journal, 2015 QTL IciMapping is freely available public software capable of building high-density linkage maps and mapping quantitative trait loci (QTL) in biparental populations.
Lei Meng +3 more
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