| 群的正则带的拟强半格分解 |
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| 引用本文： | 孔祥智,袁志玲.群的正则带的拟强半格分解[J].数学研究与评论,2005,25(1):154-160. |
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| 作者姓名： | 孔祥智 袁志玲 |
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| 作者单位： | 曲阜师范大学数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 曲阜师范大学青年基金(XJ02003,XJ03004) |
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| 摘 要： | 推广了半群的强半格分解的定义,得到了半群的拟强半格分解,并证明了完全正则半群为群 的正则(或右拟正规)带当且仅当它是完全单半群的拟强半格(且 )).
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| 关 键 词： | 拟强半格分解 正则带 同余 |
| 文章编号： | 1000-341X(2005)01-0154-07 |
| 收稿时间： | 2002/12/24 0:00:00 |
| 修稿时间： | 2002年12月24 |
Quasi Strong Semilattice Decomposition of Regular Cryptogroups |
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| KONG Xiang-zhi and YUAN Zhi-ling.Quasi Strong Semilattice Decomposition of Regular Cryptogroups[J].Journal of Mathematical Research and Exposition,2005,25(1):154-160. |
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| Authors: | KONG Xiang-zhi and YUAN Zhi-ling |
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| Institution: | School of Mathematics; Qufu Normal University; Shandong; China;School of Mathematics; Qufu Normal University; Shandong; China |
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| Abstract: | The definition of strong semilattice decomposition of semigroups is generalized, the definition of quasi strong semilattice decomposition of semigroups is given, and we prove that a completely regular semigroup is a regular (or right quasinormal) cryptogroup if and only if it is a quasi strong semilattice of completely simple semigroups (also satisfies )). |
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| Keywords: | quasi strong semilattice decomposition regular band congruence |
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