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Keywords:
simple associative $F$-algebra; ideals; maps preserving ideals
simple associative $F$-algebra; ideals; maps preserving ideals
Summary:
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.
References:
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