We show that nonfree modules of Gorenstein dimension zero over a graph algebra exist if and only if the graph is a tree. A classification of such modules is given.
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Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R China
Wu, Kaili
Wei, Jiaqun
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Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Peoples R China
机构:
Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi, JapanNagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi, Japan
Iyama, Osamu
Zhang, Xiaojin
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Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing, Jiangsu, Peoples R ChinaNagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi, Japan