The balance of complete cohomology for modules that admit complete resolutions has been established by Christensen and Jorgensen (2013), as well as by Enochs, Estrada and Iacob (2012), by using two types of constructions on a given bicomplex. In this paper, we show that these constructions are closely related to each other. We also present an alternative proof of balance, which is based on the corresponding assertion for ordinary cohomology. (C) 2013 Elsevier B.V. All rights reserved.
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Univ Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, CanadaUniv Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, Canada
Buchweitz, Ragnar-Olaf
Roberts, Collin
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Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, CanadaUniv Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, Canada
机构:
Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, EnglandUniv London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England