On fixed point subalgebras of some local algebras over a field

Miroslav Kureš

Institute of Mathematics, Brno University of Technology, Technická 2, 61669 Brno, Czech Republic

Abstract: Fixed point subalgebras of some local algebras obtained as quotients of polynomial algebras over an arbitrary field $F$ with respect to all $F$-algebra automorphisms are described.

Keywords and phrases: local algebra over a field, fixed point subalgebra.

MSC: Primary 13H99, 16W20; Secondary 58A20, 58A32

Received: 16.09.2014

Language: English