Rendiconti del Seminario Matematico della Università di Padova


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Volume 131, 2014, pp. 15–21
DOI: 10.4171/RSMUP/131-2

Published online: 2014-06-08

When all reduced strongly flat modules are projective

László Fuchs[1] and Sang Bum Lee[2]

(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