Vonessen, Nikolaus. <br/><br/>
Actions of Linearly Reductive Groups on Affine Pi-Algebras. 

 - 1st ed. 
 - 1 online resource (114 pages) 
 - Memoirs of the American Mathematical Society ;  v.81 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- Contents -- Abstract -- 0. Introduction -- 1. Statements of results -- 2. Preliminaries -- 3. The trace ring -- 4. Affine fixed rings -- 5. Borho theory -- 6. The correspondence Φ:Spec R „o Spec R[sup(G)] -- 7. Lying over -- 8. Characterizations of linearly reductive groups through actions on affine PI-algebras -- 9. Actions by inner automorphisms -- 9.1. Spec-inner automorphisms -- 9.2. A Bergman-Isaacs theorem, chain conditions, and integrality -- 9.3. Prime ideals in the ring extension R[sup(G)] [omitted] R -- 9.4. Connections with actions of finite groups -- References. 
<br/><br/><label>ISBN: </label>9781470408374 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Galois theory.<br/>Associative algebras.<br/>Noetherian rings.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA3 -- .V664 1989eb 
<br/><br/><label>Dewey Class. No.: </label>512/.3