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强Prüfer环的同调刻画

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强Prüfer环的同调刻画 王芳贵1, 乔磊1, 周德川21. 四川师范大学数学科学学院 成都 610068;
2. 西南科技大学理学院 绵阳 621010 A Homological Characterization of Strong Prüfer Rings Fang Gui WANG1, Lei QIAO1, De Chuan ZHOU21. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610068, P. R. China;
2. College of Science, Southwest University of Science and Technology, Mianyang 621010, P. R. China
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摘要设R是环，R的小finitistic维数定义为fPD （R）=sup{pdRM|M∈FBR}.本文证明了：若R是连通的强Prüfer环，则fPD （R ≤ 1.也证明了若R是强Prüfer环，M∈FBR，且M是Q-挠模，则pdRM ≤ 1.
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收稿日期: 2020-03-07
MR (2010):O154
基金资助:国家自然科学基金资助项目（11671283，11701398）
引用本文:
王芳贵, 乔磊, 周德川. 强Prüfer环的同调刻画[J]. 数学学报, 2021, 64(2): 311-316. Fang Gui WANG, Lei QIAO, De Chuan ZHOU. A Homological Characterization of Strong Prüfer Rings. Acta Mathematica Sinica, Chinese Series, 2021, 64(2): 311-316.
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http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I2/311


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[1]王芳贵. 平坦的多项式剩余类环[J]. Acta Mathematica Sinica, English Series, 2002, 45(6): 1171-117.



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