Local rings of bounded module type are almost maximal valuation rings

Francois Couchot (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

It is shown that every commutative local ring of bounded module type is an almost maximal valuation ring.

Mots clés: almost maximal; bounded module type; IF-ring; valuation ring

Domaines: Anneaux et algèbres [math.RA]

Francois Couchot. Local rings of bounded module type are almost maximal valuation rings. Communications in Algebra, 2005, 33, pp.2851-2855. ⟨10.1081/AGB-200064072⟩. ⟨hal-00002960v2⟩