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math.AT2008★ 1 cited
Properties of cellular classes of chain complexes
Jonas Kiessling
In this paper we prove certain properties of cellular and acyclic classes of chain complexes of modules over a commutative Noetherian ring. In particular we show that if X is finit…
math.AT2008★ 2 cited
Classification of certain cellular classes of chain complexes
Jonas Kiessling
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 o…