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Homological invariants associated to semi-dualizing bimodules. (English) Zbl 1096.16001

The paper under review provides a generalization of Cohen-Macaulay dimension of modules over commutative rings, introduced earlier by Gerko, to bounded complexes over noncommutative Noetherian rings. The main tool, called a semi-dualizing bimodule, is a generalization of a tool with the same name introduced earlier by L. Christensen.

MSC:

16E10 Homological dimension in associative algebras
16E05 Syzygies, resolutions, complexes in associative algebras
13D05 Homological dimension and commutative rings
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