We give some characterizations and properties of C-cotorsion modules and strongly C-coherent rings. Strongly C-coherent rings and C-semihereditary rings are characterized by C-cotorsion modules. Moreover, we define C-cotorsion dimensions for modules and rings respectively, these dimension have nice properties when the ring is strongly C-coherent.
机构:
Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
Anhui Univ Technol, Sch Math & Phys, Maanshan 243032, Anhui, Peoples R ChinaNanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
Zhao, Liang
Wei, Jiaqun
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Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
Wei, Jiaqun
Hu, Jiangsheng
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Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R ChinaNanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China