Karpilovsky, G. On finite generation of unit groups of commutative group rings. (English) Zbl 0498.16004 Arch. Math. 40, 503-508 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 18 Documents MSC: 16U60 Units, groups of units (associative rings and algebras) 16S34 Group rings 16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) Keywords:finitely generated unit group; group ring; finitely generated ring; torsion-free group; direct product of indecomposable rings; nilradical PDF BibTeX XML Cite \textit{G. Karpilovsky}, Arch. Math. 40, 503--508 (1983; Zbl 0498.16004) Full Text: DOI OpenURL References: [1] H.Bass, Introduction to some methods of algebraicK-theory. Reg. Conf. Ser. in Mathematics20, 1974. [2] W. May, Group algebras over finitely generated rings. J. Algebra39, 483-511 (1976). · Zbl 0328.16012 [3] D. S.Passman, Algebraic structure of group rings. New York 1977. · Zbl 0368.16003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.