Resumen de Modules with finite -representation type
Yongwei Yao
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 .
