. R A ] 1 7 Ja n 20 07 FORMALLY SMOOTH BIMODULES

نویسندگان

  • A. ARDIZZONI
  • TOMASZ BRZEZIŃSKI
  • C. MENINI
چکیده

The notion of a formally smooth bimodule is introduced and its basic properties are analyzed. In particular it is proven that a B-A bimodule M which is a generator left B-module is formally smooth if and only if the M-Hochschild dimension of B is at most one. It is also shown that modules M which are generators in the category σ[M ] of M-subgenerated modules provide natural examples of formally smooth bimodules.

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تاریخ انتشار 2007