| 自遗传模的自同态环 |
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| 引用本文： | 唐忠明.自遗传模的自同态环[J].苏州大学学报(医学版),1990,6(4):442-447. |
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| 作者姓名： | 唐忠明 |
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| 作者单位： | 苏州大学数学系 |
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| 摘 要： |
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| 关 键 词： | 自遗传模 直和 自同态环 |
ENDOMORPHISM RINGS OF SELF-HEREDITARY MODULES |
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| Tang Zhongming.ENDOMORPHISM RINGS OF SELF-HEREDITARY MODULES[J].Journal of Suzhou University(Natural Science),1990,6(4):442-447. |
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| Authors: | Tang Zhongming |
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| Institution: | Mathematics Department |
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| Abstract: | A left R-module P is called a self-(co-)hereditary module if every submodule(factor module) of P is P-projective(injective). In this paper we proved that for a finitely generated projective module P if it is noetherian and self-(co-)hereditary then its endomorphism ring End_R(P) is left (right) hereditary. We also discussed the direct Sums of Self-(co-)hereditary modules. |
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| Keywords: | , Self-hereditary modules, direct sums, endomorphism rings, |
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