Sunday, 15 June 2008

ac.commutative algebra - About maximal Cohen-Macaulay modules

I´m trying to solve a problem of cancellation of reflexive finitely generated modules over normal noetherian domains. When R is regular domain with dimRle2, for finitely generated modules, reflexive is equivalent to projective.



Now I´m studying the case dimR=2 and R normal. In this hypothesis, reflexive modules are maximal Cohen-Macaulay modules.



I´m looking for references about this topic, with especial emphasis in lifting of homomorphism between factors of maximal CM modules: something like "... an homomorphism M/IMtoN/IN can be lift to an homomorphism MtoN..."; indescomponibles maximal CM modules are welcome too.

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