Modules with finite -representation type

• Autores: Yongwei Yao
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 1, 2005, págs. 53-72
• Idioma: inglés
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• Resumen

  • Finitely generated modules with finite -representation type over Noetherian (local) rings of prime characteristic are studied. If a ring has finite -representation type or, more generally, if a faithful -module has finite -representation type, then tight closure commutes with localizations over . -contributors are also defined, and they are used as an effective way of characterizing tight closure. Then it is shown that always exists under the assumption that satisfies the Krull-Schmidt condition and has finite -representation type by , in which all the are indecomposable -modules that belong to distinct isomorphism classes and .