Passman, Donald S. The algebraic structure of group rings. (Reprint with corrections of the orig. ed. publ. 1977 by John Wiley & Sons, Inc., New York). (English) Zbl 0654.16001 Melbourne, Florida: Krieger Publishing Co., Inc. XVI, 734 p.; $ 62.50 (1985). See the detailed review by K. A. Brown of the original (1977) in Zbl 0368.16003. In a 14 pages Appendix the author briefly reports on some of the highlights of the theory which have appeared after publication of the original. Cited in 1 ReviewCited in 32 Documents MathOverflow Questions: Zero divisor conjecture for finite fields MSC: 16-02 Research exposition (monographs, survey articles) pertaining to associative rings and algebras 16S34 Group rings 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) Keywords:infinite group rings; augmentation ideal; polynomial identities; nilpotent radical; Jacobson radical; chain conditions; isomorphism problems; polycyclic groups Citations:Zbl 0221.20042; Zbl 0368.16003 PDF BibTeX XML OpenURL