| 任意环的乘法模 |
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| 引用本文： | 张国印.任意环的乘法模[J].南京大学学报(自然科学版),2006,23(1):59-69. |
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| 作者姓名： | 张国印 |
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| 作者单位： | 金陵科技学院基础部 南京 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10271052)
is partially supported by the Specialized Research Fund for the Doctoral Program of China Education Ministry (Grant No. 20030284033). |
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| 摘 要： | 设R是任意带单位元的结合环．如所周知,任意右乘法模是拓扑模．本文证明:右强duo环上的任一有限生成的右R模-M是拓扑模当且仅当它是乘法模．此外,几个已知的交换环上关于乘法模的结果被推广到非交换环上．
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| 关 键 词： | 乘法模 素子模 CP模 |
| 修稿时间： | 2004年12月17 |
MULTIPLICATION MODULES OVER ANY RINGS |
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| Zhang Guoyin.MULTIPLICATION MODULES OVER ANY RINGS[J].Journal of Nanjing University: Nat Sci Ed,2006,23(1):59-69. |
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| Authors: | Zhang Guoyin |
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| Abstract: | Let R be any ring with identity. It is well known that any right multiplication module is top. It is proved in this paper that a finitely generated right module M over a right strongly duo ring R is a top module if and only if it is a multiplication module. In addition, several known results on the multiplication modules over a commutative ring are extended over a non-commutative ring. |
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| Keywords: | multiplication module prime submodule CP module |
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