| 加法可换可消半环的一个结构定理及应用 |
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| 引用本文： | 郑玉美,游松发.加法可换可消半环的一个结构定理及应用[J].数学进展,1993,22(4):358-361. |
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| 作者姓名： | 郑玉美 游松发 |
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| 作者单位： | 湖北大学数学系，湖北大学数学系，湖北大学数学系 武汉，430062，湖北，武汉，430062，湖北，武汉，430062，湖北 |
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| 摘 要： | 半环是一种有很好实际背景和应用前景的代数结构,尤其对于计算机语言的研究有极为重要的作用。因此,对半环的研究越来越引起人们的关注。本文首先证明了每个加法可换可消半环有一个包环,然后在此基础上证明了它们是多重线性等价的,最后证明了加法可消的交换半坏上的Levitzki-Amitsur定理。
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| 关 键 词： | 半环 包环 加法可消 加法可换 |
A Structure Theorem and Its Application of an Addition Commutative Cancellable Semiring |
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| Zheng Yumei,You Songfa,Jiang Zhonglue.A Structure Theorem and Its Application of an Addition Commutative Cancellable Semiring[J].Advances in Mathematics,1993,22(4):358-361. |
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| Authors: | Zheng Yumei You Songfa Jiang Zhonglue |
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| Abstract: | Semiring is an agebraic structure having good actual background and applicable prospect, especially, it plays an important role on the study of computer language.In this paper, first it is proved that each addition commutative cancellable semiring has a closure ring, thea it is proved that they are multilinear equivalence on this basis, lastly,Levtzki-Amitsur theorem of an addition commutative cancellable semiring is proved. |
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| Keywords: | Semirings closure rings computer language multilinear equivalence |
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