On the Structure of Skew Group Rings |
Contents
Generalities about skew group rings | 14 |
3 The center of K G | 21 |
Skew group rings with pnilpotent | 27 |
Copyright | |
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Common terms and phrases
36 Seiten abelian Algebra artinian principal ideal artinian ring assertions are equivalent block idempotents central idempotent Chap chapter Char(K commutative composition series conjugacy classes cyclic decomposition defect group dimensional direct sum e₁ epimorphism Example F-dim finite group finite length finite representation type following assertions following theorem G-orbit group homomorphism hence implies indecomposable module indecomposable projective modules isomorphic K-algebra k-basis K-dimension K-linear K-spaces K[HP K[N]-module Kasch Ker(T kernel group KG modules Lemma Let G Math modules with finite Müller Nakayama normal subgroup normalizing basis p-group p-length one group p-solvable p-length p-Sylow subgroup P(KG principal ideal ring projective modules Proof Proposition R C S Radı radical right artinian right excellent extension right P.D.S.-ring right S-module semisimple shows simple module skew group rings splitting field submodule Tsushima twosided ideal uniserial upper and lower well-known Z(KG Σκ
References to this book
Abelian Groups, Rings, Modules, and Homological Algebra Pat Goeters,Overtoun M.G. Jenda Limited preview - 2006 |