Groups acting on affine algebras

Farkas, Daniel R.

doi:10.1090/S0002-9947-1988-0940913-4

Groups acting on affine algebras
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Trans. Amer. Math. Soc. 310 (1988), 485-497 Request permission

Correction: Trans. Amer. Math. Soc. 319 (1990), 821-823.

Abstract:

General actions of groups on commutative affine domains are studied. We prove a finiteness theorem for orbits of ideals and an ergodic theorem inspired by results from the theories of group algebras and universal enveloping algebras.

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Lecture notes on the fourteenth problem of Hilbert

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