Miroslav Kures
David Sehnal

The order of algebras with nontrivial fixed point subalgebras

(Lobachevskii Journal of Mathematics, Volume XXV)

The paper represents an advancement of research the fundamental problem of which is a classification of algebras A (Weil algebras primarily) having a nontrivial fixed point subalgebra (with respect to \underlineall algebra automorphisms). The main result is the determination of the algebra order allowing a nontrivial fixed point subalgebra. Moreover, an autonomous importance of some results about socle elements of A and the unipotency of algebra automorphisms is highlighted.



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