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arxiv: 0801.3904 · v1 · submitted 2008-01-25 · 🧮 math.AT · math.AC

Classification of certain cellular classes of chain complexes

classification 🧮 math.AT math.AC
keywords cellularchaincomplexesringcertainclassesclassificationcommutative
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Let (R, m) be a local commutative ring. Suppose that m is principal and that m^2 = 0. We give a complete description of the cellular lattice of perfect chain complexes of modules over this ring.

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