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The study of (co-) homology groups »"(II, A), SB"(II, A), 3 a variety, TJ a group in s, and A a suitable II-module, is pursued. They are compared with a certain Tor and Ext. The definition of the homology of an epimorphism due to Rinehart is shown to agree with that due to Barr and Beck (whenever both are defined). The edge effects of a spectral sequence are calculated.doi:10.1090/s0002-9947-71-99968-5 fatcat:6a4o2dqglnf7rhxo2wo63vydva