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non-additive lie centralizer of infinite strictly upper triangular matrices
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نویسنده
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hadj d. a. aiat
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منبع
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journal of linear and topological algebra - 2019 - دوره : 8 - شماره : 4 - صفحه:251 -255
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چکیده
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let $mathcal{f}$ be an field of zero characteristic and $n_{infty}(mathcal{f})$ be the algebra of infinite strictly upper triangular matrices with entries in $mathcal{f}$, and $f:n_{infty}(mathcal{f})rightarrow n_{infty}(mathcal{f})$ be a nonadditive lie centralizer of $n_{infty }(mathcal{f})$; that is, a map satisfying that $f([x,y])=[f(x),y]$ for all $x,yin n_{infty}(mathcal{f})$. we prove that $f(x)=lambda x$, where $lambda in mathcal{f}$.
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کلیدواژه
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lie centralizer ,strictly upper triangular matrices ,commuting map
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آدرس
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centre regional des metiers d'education et de formation (crmef), department of mathematics, morocco
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پست الکترونیکی
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ait_hadj@yahoo.com
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Authors
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