Title of article :
Pi-balanced torsion-free modules over a discrete valuation domain
Author/Authors :
David M. Arnold، نويسنده , , K.M. Rangswamy، نويسنده , , Fred Richman ، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
Pi-balanced images of a finite direct sum L=J1 Jn of purely indecomposable modules over a discrete valuation domain are investigated. Under a rigidity condition, these images can be classified by a complete set of isomorphism invariants. When the Ji have finite rank, the torsion-free images of L admit an internal characterization. If, in addition, the Ji are all isomorphic, then any pi-balanced image of L is a direct summand. Several examples illustrate the concepts and the results.
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra