TY - BOOK AU - Vonessen,Nikolaus TI - Actions of Linearly Reductive Groups on Affine Pi-Algebras T2 - Memoirs of the American Mathematical Society SN - 9781470408374 AV - QA3 -- .V664 1989eb U1 - 512/.3 PY - 1989/// CY - Providence PB - American Mathematical Society KW - Galois theory KW - Associative algebras KW - Noetherian rings KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113971 ER -