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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Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R ChinaJiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
Hu, Jiangsheng
Zhang, Dongdong
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Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R ChinaJiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
Zhang, Dongdong
Zhao, Tiwei
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Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R ChinaJiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
Zhao, Tiwei
Zhou, Panyue
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Hunan Inst Sci & Technol, Coll Math, Yueyang 414006, Hunan, Peoples R ChinaJiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China