| 一类群的幂半群的半格分解 |
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| 引用本文： | 梁金玲.一类群的幂半群的半格分解[J].纯粹数学与应用数学,1999,15(2):33-36. |
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| 作者姓名： | 梁金玲 |
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| 作者单位： | 西北大学数学系,西安710069 |
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| 摘 要： | 讨论了一类群的幂半群的半格分解，得到了最大半格分解的刻划，及有关滤子，完全素理想等一系列结果，作为特例，得到了Putcha.M.S.关于有限群的幂半群的最大半格分解的结论。
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| 关 键 词： | 群 幂半群 滤子 完全素理想 |
| 文章编号： | 1008-5513(1999)02-0033-04 |
On the semilatice decomposition of the power semigroups of a class of groups |
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| LIANG Jin,ling.On the semilatice decomposition of the power semigroups of a class of groups[J].Pure and Applied Mathematics,1999,15(2):33-36. |
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| Authors: | LIANG Jin ling |
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| Abstract: | This paper discusses the semilattice decomposition of the power semigroups of a class of groups, characterizes the maximal semilattice decomposition, and gets some results about filter and completely prime ideal. As a special case, the paper gets the conclusion of Putcha.M.S. about the maximal semilattice decomposition of the power semigroup of a finite group. |
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| Keywords: | Power semigroup filter Completely prime ideal |
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