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RESULTS ON QUOTIENT NEAR-RINGS INVOLVING ADDITIVE MAPS [PDF]
Journal of Algebraic SystemsWe consider N to be a 3-prime field and P to be a prime ideal of N : In this paper, we studythe commutativity of the quotient ring N =P with left multipliers and derivations satisfying certainidentities on P, generalizing some well-known results in the ...
Abderrahmane Raji +2 more
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A course space construction based on local Dirichlet-to-Neumann maps [PDF]
, 2011 Coarse-grid correction is a key ingredient of scalable domain decomposition methods. In this work we construct coarse-grid space using the low-frequency modes of the subdomain Dirichlet-to-Neumann maps and apply the obtained two-level preconditioners to ...
Dolean Maini, Victorita +8 more
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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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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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Centralizing additive maps on rank Rblock triangular matrices / Muhammad Hazim Abdul Mutalib [PDF]
, 2021 In this dissertation, we study centralizing additive maps on block triangular matrix algebras. The main focus of this research is to classify centralizing additive maps on rank r block triangular matrices over an arbitrary field.
Muhammad Hazim , Abdul Mutalib
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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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