Rendiconti del Seminario Matematico della Università di Padova
Full-Text PDF (1942 KB) | Metadata | Table of Contents | RSMUP summary
Published online: 2014-06-08
When all reduced strongly flat modules are projectiveLászló Fuchs and Sang Bum Lee (1) Tulane University, New Orleans, USA
(2) Sangmyung University, Seoul, South Korea
We consider integral domains over which all the reduced strongly flat modules are projective, and give several characterizations of such domains (Theorem 1.1). Those $h$-local Prüfer-domains are identified which share this property (Theorem 3.3).
Keywords: Projective, strongly flat, Matlis-cotorsion modules, self-small module
Fuchs László, Lee Sang Bum: When all reduced strongly flat modules are projective. Rend. Sem. Mat. Univ. Padova 131 (2014), 15-21. doi: 10.4171/RSMUP/131-2