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Monoids for which condition (P) acts are projective

By James Renshaw

Abstract

A characterisation of monoids for which all right S-acts satisfying condition (P) are projective is given. We also give a new characterisation of those monoids for which all cyclic right S-acts satisfying condition (P) are projective, similar in nature to recent work by Kilp [6]. In addition we give a sufficient condition for all right S-acts that satisfy condition (P) to be strongly flat and show that the indecomposable acts that satisfy condition (P) are the locally cyclic acts

Topics: QA
Year: 2000
OAI identifier: oai:eprints.soton.ac.uk:41121
Provided by: e-Prints Soton
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