Polycyclic group rings whose principal ideals are projective

[摘要] 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 congruent to D, and char K not equal 2. The proof requires group theoretic as well as group ring arguments. (C) 2000 Academic Press.

[发布日期] 2000-10-15