| 直投（内）射模与Morita对偶 |
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| 引用本文： | 詹志辉,薛卫民.直投（内）射模与Morita对偶[J].福建师范大学学报(自然科学版),1995,11(4):9-13. |
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| 作者姓名： | 詹志辉 薛卫民 |
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| 摘 要： | 作为直投射模的自然推广，本文引入Ｘ－直投射模的概念，得到了若干性质，证明了直投射模与直内射模是一对Ｍｏｒｉｔａ对偶序对，并证明了如果ＲＵＳ导出一个Ｍｏｒｉｔａ对偶，那么Ｒ的每个商环是左遗传的当且仅当Ｓ的每个商环是右遗传的。
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| 关 键 词： | 直投射模 直内射模 Morita对偶 结合环 |
Direct-projective(Injective) Modules and Morita Duality |
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| Zhan Zhihui, Xue Weimin.Direct-projective(Injective) Modules and Morita Duality[J].Journal of Fujian Teachers University(Natural Science),1995,11(4):9-13. |
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| Authors: | Zhan Zhihui Xue Weimin |
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| Institution: | Department of Mathematics |
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| Abstract: | As a generalization of direct projective(injective) modules, introduces the concepts of X-direct projective(injective) modules, obtain some properties, and proves that the direct projectity and direct injectity are a pair of objects under Morita duality.Finally, proves that if RUS induces a Morita duality, then each factor ring of R is left hereditary if and only if each factor ring of S is right hereditary. |
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| Keywords: | X-direct projective module X-direct injective module Morita duality |
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