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Polycyclic Group Rings Whose Principal Ideals Are Projective

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
232
Issue
2
Identifiers
DOI: 10.1006/jabr.2000.8415
Disciplines
  • Mathematics

Abstract

Abstract Let K[G] be a prime group algebra with G a polycyclic-by-finite group. In this paper we prove that K[G] is a CS-ring or a PP-ring if and only if either G is torsion-free or G≅D∞ and char K≤2. The proof requires group theoretic as well as group ring arguments.

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