Zobrazeno 1 - 2
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pro vyhledávání: '"16R60 (Primary) 16R50, 16K40 (Secondary)"'
Publikováno v:
J. Algebra 657 (2024) 363-378
Let $D$ be a noncommutative division ring. In a recent paper, Lee and Lin proved that if $\text{char}\, D\ne 2$, the only solution of additive maps $f, g$ on $D$ satisfying the identity $f(x) = x^n g(x^{-1})$ on $D\setminus \{0\}$ with $n\ne 2$ a pos
Externí odkaz:
http://arxiv.org/abs/2403.13650
Autor:
Lee, Tsiu-Kwen, Lin, Jheng-Huei
Publikováno v:
J. Algebra 647 (2024) 492-514
We study the functional identity $G(x)f(x)=H(x)$ on a division ring $D$, where $f \colon D\to D$ is an additive map and $G(X)\ne 0, H(X)$ are generalized polynomials in the variable $X$ with coefficients in $D$. Precisely, it is proved that either $D
Externí odkaz:
http://arxiv.org/abs/2401.03112