Geodesic
The order of algebras with nontrivial fixed point subalgebras
Lobachevskii journal of mathematics, Tome 25 (2007), pp. 187-196

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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
Mots-clés : automorphism. 
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     title = {The order of algebras with nontrivial fixed point subalgebras},
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     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/LJM_2007_25_a4/}
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M. Kureš; D. Sehnal. The order of algebras with nontrivial fixed point subalgebras. Lobachevskii journal of mathematics, Tome 25 (2007), pp. 187-196. http://geodesic.mathdoc.fr/item/LJM_2007_25_a4/