| 极大IF-环、极大正则环、极大遗传环 |
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| 引用本文： | 于梅菊.极大IF-环、极大正则环、极大遗传环[J].湖南文理学院学报(自然科学版),2010,22(2):10-11,13. |
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| 作者姓名： | 于梅菊 |
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| 作者单位： | 通化师范学院,数学系,吉林,通化,134002 |
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| 摘 要： | 通过极大平坦模给出了极大正则环、极大IF-环与极大遗传环的定义,并且利用同调的手法以极大内射模、极大平坦模为工具研究了它们的结构问题.
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| 关 键 词： | 极大正则环 极大IF-环 极大遗传环 |
Max IF-ring and max-injective dimension |
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| YU Mei-ju.Max IF-ring and max-injective dimension[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2010,22(2):10-11,13. |
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| Authors: | YU Mei-ju |
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| Institution: | YU Mei-ju (Department of Mathmatics,Tonghua Normal College,Tonghua 134002,China) |
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| Abstract: | The paper introduces the concept of maximal regular rings,maximal IF-rings and maximal hereditary rings. Above-mentioned three kinds of new rings are characterized by maximal injectivities and maximal flat modules. |
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| Keywords: | maximal regular rings maximal IF-rings maximal hereditary rings |
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