Rendiconti del Seminario Matematico della Università di Padova


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

When all reduced strongly flat modules are projective

László Fuchs[1] and Sang Bum Lee[2]

(1) Department of Mathematics, Tulane University, LA 70118, New Orleans, USA
(2) Department of Mathematics, Sangmyung University, 110-743, Seoul, Republic of 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