# Equivalences of monoidal model categories

@article{Schwede2002EquivalencesOM,
title={Equivalences of monoidal model categories},
author={Stefan Schwede and Brooke E. Shipley},
journal={arXiv: Algebraic Topology},
year={2002}
}
• Published 25 September 2002
• Mathematics
• arXiv: Algebraic Topology
We construct Quillen equivalences between the model categories of monoids (rings), modules and algebras over two Quillen equivalent model categories under certain conditions. This is a continuation of our earlier work where we established model categories of monoids, modules and algebras [Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000), 491-511]. As an application we extend the Dold-Kan equivalence to show that the model categories of simplicial rings…
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