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arxiv: 1012.4531 · v1 · pith:Y4IQUEBTnew · submitted 2010-12-21 · 🧮 math.AC · math.RT

Stable degenerations of Cohen-Macaulay modules

classification 🧮 math.AC math.RT
keywords stablecohen-macaulaydegenerationsconditionsmodulesalgebraanalogueanother
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As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.

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