| 本原半环的稠密性及Kaplansky定理 |
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| 引用本文： | 郑玉美. 本原半环的稠密性及Kaplansky定理[J]. 湖北大学学报(自然科学版), 1994, 16(4): 385-389 |
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| 作者姓名： | 郑玉美 |
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| 摘 要： | 若半环Ｓ有忠实既约的Ｓ－半模Ｍ，叫Ｓ为本原半环．我们证明了本原半环具有稠密性，然后在此基础上证明了所谓的Ｋａｐｌａｎｓｋｙ定理，即ＰＩ－本原半环是单的，在其中心上是有限维的．
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| 关 键 词： | 半环 本原半环 稠密性 Kaplansky定理 |
DENSITY OF PRIMITIVE SEMIRINGS AND KAPLANSKY''''S THEOREM |
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| Zheng Yumei. DENSITY OF PRIMITIVE SEMIRINGS AND KAPLANSKY''''S THEOREM[J]. Journal of Hubei University(Natural Science Edition), 1994, 16(4): 385-389 |
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| Authors: | Zheng Yumei |
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| Affiliation: | Department of Mathematics |
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| Abstract: | A semiring S with a faithful irreducible S-semimodule M is called a primitive semiring.In our paper,we proved that a primitive semirins is density. An analogy of famous Kaplansky's Theorem on semirings is proved in this paper.i.e.P I -primitive semirings are simple and are finite dimensional on their centors. |
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| Keywords: | Semiring Primitive semiring Density |
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