Open Access
September 2008 Relative Ext groups, resolutions, and Schanuel classes
Henrik Holm
Osaka J. Math. 45(3): 719-735 (September 2008).


Given a precovering (also called contravariantly finite) class $\mathsf{F}$ there are three natural approaches to a homological dimension with respect to $\mathsf{F}$: One based on Ext functors relative to $\mathsf{F}$, one based on $\mathsf{F}$-resolutions, and one based on Schanuel classes relative to $\mathsf{F}$. In general these approaches do not give the same result. In this paper we study relations between the three approaches above, and we give necessary and sufficient conditions for them to agree.


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Henrik Holm. "Relative Ext groups, resolutions, and Schanuel classes." Osaka J. Math. 45 (3) 719 - 735, September 2008.


Published: September 2008
First available in Project Euclid: 17 September 2008

zbMATH: 1178.16006
MathSciNet: MR2468589

Primary: 16B50 , 16E10 , 16E30

Rights: Copyright © 2008 Osaka University and Osaka City University, Departments of Mathematics

Vol.45 • No. 3 • September 2008
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