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On Symmetric Additive Mappings and Their Applications

open access: yesSymmetry, 2023
The key motive of this paper is to study symmetric additive mappings and discuss their applications. The study of these symmetric mappings makes it possible to characterize symmetric n-derivations and describe the structure of the quotient ring S/P, where S is any ring and P is a prime ideal of S.
Shakir Ali   +2 more
exaly   +2 more sources

Stability of Bi-Additive Mappings and Bi-Jensen Mappings [PDF]

open access: yesSymmetry, 2021
Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables. In this paper, we proved the Hyers-Ulam stability of the bi-additive functional equation f(x+y,z+w)=f(x,z)+f(y,w) and the bi-Jensen functional equation 4fx+y2,z+w2=f(x,z)+f(x,w)+f(y,
Jae-Hyeong Bae   +2 more
exaly   +2 more sources
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Additive mappings on MA-semirings

Asian-European Journal of Mathematics, 2020
We found conditions under which additive mappings defined on additively inverse semirings and satisfying the [Formula: see text]th power property are derivations.
Ahmed, Yaqoub   +2 more
openaire   +2 more sources

On Additive Maps and Commutativity in Rings

Results in Mathematics, 1999
Various results concerning (skew-)commuting and skew-centralizing maps on (semi)prime rings are obtained. A sample result: Let \(R\) be a 2-torsionfree semiprime ring, \(U\) be a nonzero left ideal of \(R\) and \(d\) be a derivation of \(R\). If \(d\) is skew-commuting on \(U\) (that is, \(ud(u)+d(u)u=0\) for all \(u\in U\)), then \(d(U)=0\).
Bell, Howard E., Lucier, Jason
openaire   +2 more sources

Additions to the exclusion map of man

Pathology, 1981
Exclusion mapping was applied to individuals with monosomic segments defined by chromosomal banding. A range of genetic markers and blood groups was determined resulting in new exclusions for unassigned markers at the following segments : (3)(p25 leads to pter) - JK, GPT, PI ; (4)(127 leads to 31) - MNS, JK, PI, C3, F13A, F13B ; (7))q22) - LU, F13A ...
J C, Mulley   +2 more
openaire   +2 more sources

Generalized stability of multi-additive mappings

open access: yesApplied Mathematics Letters, 2010
Let \(V\) be a commutative semigroup, \(W\) a Banach space and \(n \geq 1\) an integer. A function \(f : V^n \to W\) is said to be multi-additive if \(f\) is additive in each variable. In this paper, the author studies the generalized stability of the multi-additive mappings using the direct method.
Krzysztof Cieplinski
exaly   +2 more sources

On Additive Mappings in a ∗-Ring with an Identity Element

Vietnam Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nadeem Ur Rehman   +2 more
exaly   +2 more sources

The adjoint of an additive map

Il Nuovo Cimento B, 1986
It is proved that the mapping which assigns to a bounded additive map from one complex Banach space to another its adjoint is an additive monomorphism. It is shown that differences in the structures of continuous additive maps on a complex Banach space and of linear maps on a real Banach space are not trivial.
J. Pian, C. S. Sharma
openaire   +1 more source

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