| Gr-Morita对偶与Morita对偶 |
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| 引用本文： | 张圣贵. Gr-Morita对偶与Morita对偶[J]. 数学研究及应用, 1993, 13(1): 95-98 |
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| 作者姓名： | 张圣贵 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 设G为有单位元e的群R=(?)Rx和A=(?)Ax都是有单位元的G型强分次环,U=(?)Uz是分次(R,A)一双模.本文主要证明了RUA导出一个Gr—Morita对偶当且仅当ReU(eAc)导出一个Morita对偶.
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| 收稿时间： | 1991-02-19 |
Gr-Morita Duality and Morita Duality |
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| Zhang Shenggui. Gr-Morita Duality and Morita Duality[J]. Journal of Mathematical Research with Applications, 1993, 13(1): 95-98 |
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| Authors: | Zhang Shenggui |
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| Affiliation: | Dept. of Math.; Fujian Teachers University; Fuzhou |
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| Abstract: | Let G be a group with identity e. Let R=(?)Rx and A =(?)Axbe strongly gradedrings of type G with identity, respectively, and U =(?)Ux be a graded (R, A)-bimodule.It is shown that RUA induces a gr-Morita duality iff ReU(eAc) induces a Morita duality. |
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