Document Type

Article

Publication Date

2012

Publication Title

Rocky Mountain Journal of Mathematics

DOI

10.1216/RMJ-2012-42-6-1787

ISSN

0035-7596

Abstract

In [8] Salce introduced the notion of a co-torsion pair (A, B) in the category of abelian groups. But his definitions and basic results carry over to more general abelian categories and have proved useful in a variety of settings. In this article we will consider complete cotorsion pairs (C, D)in the category C(R-Mod) of complexes of left R-modules over some ring R.If(C, D) is such a pair, and if C is closed un-der taking suspensions, we will show when we regard K(C) and K(D) as subcategories of the homotopy category K(R-Mod), then the embedding functors K(C) → K(R-Mod) and K(D) → K(R-Mod) have left and right adjoints, respectively. In finding examples of such pairs, we will describe a procedure for using Hoveys results in [5] to find a new model structure on C(R-Mod).

Comments

© 2012 Rocky Mountain Mathematics Consortium. This is an open access article retrieved from the Rocky Mountain Journal of Mathematics. Articles older than 5 years are open access.

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