Geodesic
Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 371-379 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $\Cal P$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\Cal P$ are determined completely; Each ideal of $\Cal P$ is shown to be generated by one element; Every non-linear invertible map on $\Cal P$ that preserves ideals is described in an explicit formula.
Let $\Cal P$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\Cal P$ are determined completely; Each ideal of $\Cal P$ is shown to be generated by one element; Every non-linear invertible map on $\Cal P$ that preserves ideals is described in an explicit formula.
Classification : 15A04, 15A27, 16D25, 16S50
Keywords: simple associative $F$-algebra; ideals; maps preserving ideals 
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     title = {Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra},
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Wang, Dengyin; Pan, Haishan; Wang, Xuansheng. Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 371-379. http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a5/

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