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Communications in Algebra Volume 32, 2004 - Issue 10
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Original Articles

Relative Homological Algebra for the Proper Class ωf

Grigory Garkusha International Centre for Theoretical Physics, Trieste, Italy; International Centre for Theoretical Physics, Strada Costiera 11, I-34014, Trieste, ItalyCorrespondence[email protected]
Pages 4043-4072 | Received 01 Apr 2003, Accepted 01 Apr 2004, Published online: 24 Jun 2011
 
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Abstract

Homological algebra based on fp-injective and fp-flat modules is studied. It can be realized as relative homological algebra corresponding to the proper class of monomorphisms

Also, the corresponding homological functors Ext f and Tor f as well as various homological dimensions are investigated.

2000 Mathematics Subject Classification:

Acknowledgment

The author is supported by the ICTP-UNESCO research fellowship.

Notes

#Communicated by R. Wisbauer.

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