| 纯正的群的正则带的半格结构 |
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| 引用本文： | 袁志玲,孔祥智. 纯正的群的正则带的半格结构[J]. 曲阜师范大学学报, 2002, 28(4): 39-42 |
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| 作者姓名： | 袁志玲 孔祥智 |
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| 作者单位： | 曲阜师范大学数学系，曲阜师范大学数学系 273165，山东省曲阜市，273165，山东省曲阜市 |
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| 摘 要： | 在给出纯正的群的正则带这类半群的若干特征后，建立了纯正的群的正则带的HG－强半格结构及纯正的群的右拟正规带的YG－强半格结构定理，它推广了Petrich关于纯正的群的正规带的强半格结构及该文的正则带与右拟正规带的G－强半格结构定理。
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| 关 键 词： | 完全正则半群 正则带 纯正 同态 自然偏序 强半格结构 右拟正规带 半格分解 |
| 文章编号： | 1001-5337(2002)04-0039-04 |
| 修稿时间： | 2002-01-04 |
SEMILATTICE STRUCTURE OF REGULAR ORTHOCRYPTOGROUPS |
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| YUAN Zhi_ling, KONG Xiang_zhi. SEMILATTICE STRUCTURE OF REGULAR ORTHOCRYPTOGROUPS[J]. Journal of Qufu Normal University(Natural Science), 2002, 28(4): 39-42 |
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| Authors: | YUAN Zhi_ling KONG Xiang_zhi |
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| Abstract: | The aim of this paper is to study regularorthocryptogroups. After obtaining some characteristics of such semigroups, theorems of H G _strong semilattice decomposition of regular orthocryptogroups and L G _strong semilattice decomposition of right quasinormal orthocryptogroups are established. It is a generalization of Petrich's strong semilattice decomposition of normal orthocryptogroups. |
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| Keywords: | completely regular semigroup regular band orthodox homomorphism natural partial order |
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