A Quillen Model Structure Approach to the Finitistic Dimension Conjectures

Details A Quillen Model Structure Approach to the Finitistic Dimension Conjectures A Quillen Model Structure Approach to the Finitistic Dimension Conjectures

2009-08-19

arxiv.org/abs/0908.2751v1

Mathematics

Rings and Algebras

Scientific paper

We explore the interlacing between model category structures attained to
classes of modules of finite $\mathcal{X}$-dimension, for certain classes of
modules $\mathcal{X}$. As an application we give a model structure approach to
the Finitistic Dimension Conjectures and present a new conceptual framework in
which these conjectures can be studied.

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