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Quotient triangulated categories
For a self-orthogonal module , the relation between the quotient
triangulated category and the stable category of the
Frobenius category of -Cohen-Macaulay modules is investigated. In
particular, for a Gorenstein algebra, we get a relative version of the
description of the singularity category due to Happel. Also, the derived
category of a Gorenstein algebra is explicitly given, inside the stable
category of the graded module category of the corresponding trivial extension
algebra, via Happel's functor .Comment: 14 pages. Manu. Math., to appea
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