Recovering divisor classes via their (T)-adic filtrations

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4 Scopus citations


Continuing the investigation of the canonical map of divisor class groups j* : C1(B) → C1(B/tB), we consider what happens if ker j* is nonzero. The first result gives an injection of C1(B) into Πn≥1 C1(B/tnB), where the definition of class group is extended to include the rings B/tnB. We also get an action of ker j* on small MCM B-modules, resulting, in the case of a ring A without DCG and with a small MCM module C, in infinitely many distinct small MCM A[[T]]-modules lifting C.

Original languageEnglish (US)
Pages (from-to)257-271
Number of pages15
JournalJournal of Pure and Applied Algebra
Issue number3
StatePublished - May 29 1998
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory


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