×

zbMATH — the first resource for mathematics

Representation type of commutative Noetherian rings. II: Local tameness. (English) Zbl 1019.13005
[For part I see: L. Klingler and L. S. Levy, ibid. 345-386 (2001; see the preceding review Zbl 1019.13004).]
Summary: We describe all isomorphism classes of finitely generated \(\Lambda\)-modules, where \(\Lambda\) is any complete local (commutative noetherian) ring whose category of modules of finite length does not have wild representation type. (There is a possible exception to our results, involving characteristic 2.)

MSC:
13C05 Structure, classification theorems for modules and ideals in commutative rings
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
16G10 Representations of associative Artinian rings
PDF BibTeX XML Cite
Full Text: DOI Link