Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra

Title:

Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra

Creator:

Wang, Dengyin, Pan, Haishan, and Wang, Xuansheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4d97bff8-21a7-4c71-ab0d-fee0efd71c32
uuid:4d97bff8-21a7-4c71-ab0d-fee0efd71c32

Subject:

simple associative $F$-algebra, ideals, and maps preserving ideals

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

371-379

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:2

Harvested from:

CDK

Metadata only:

false