This article is cited in 1 paper

The order of algebras with nontrivial fixed point subalgebras

M. Kureš^a, D. Sehnal<sup>b

a</sup> Brno University of Technology
^b Masaryk University

Abstract: 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 \underline{all} 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.

Keywords: Local algebra, automorphism.

Submitted by: M. A. Malakhaltsev
Received: 02.01.2007

Language: English

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