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 of M-subgenerated modules provide natural examples of formally smooth bimodules.

Formally Smooth Bimodules

ARDIZZONI, Alessandro;
2008-01-01

Abstract

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 of M-subgenerated modules provide natural examples of formally smooth bimodules.
2008
212
5
1072
1085
http://arxiv.org/pdf/math/0701473.pdf
http://dx.doi.org/10.1016/j.jpaa.2007.09.004
Relative projectivity; cohomology; formally smooth module; separable module.
A. ARDIZZONI; T. BRZEZINSKI; C. MENINI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/93292
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