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GENERALIZED LATTICES OVER ONE-DIMENSIONAL NOETHERIAN DOMAINS

Publikace na Matematicko-fyzikální fakulta |
2022

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We study direct sum decompositions of pure projective torsion free modules over one-dimensional commutative noetherian domains. Drawing inspiration from the representation theory of orders in separable algebras, we study when every pure projective torsion free module is a direct sum of finitely generated modules.

A satisfactory criterion is given for analytically unramified reduced local rings and for Bass domains.