| 正规密码(H)-富足半群 |
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| 引用本文： | 孔祥智,袁志玲.正规密码(H)-富足半群[J].数学进展,2007,36(5):539-545. |
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| 作者姓名： | 孔祥智 袁志玲 |
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| 作者单位： | 1. 江南大学理学院,江苏,无锡,214122
2. 曲阜师范大学数学科学学院,曲阜,山东,273165 |
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| 摘 要： | 将Green关系推广到Green～-关系。给出了密码^ ～ H-富足半群的半格分解,利用此分解,证明了^ ～ H-富足半群为正规密码^H-富足半群当且仅当它是完全^ ～ H-单半群的强半格.
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| 关 键 词： | Green～-关系 同态 自然偏序 半格分解 Green's ～-relation |
| 文章编号： | 1000-0917（2007）05-0539-07 |
| 修稿时间： | 2005-04-18 |
Normal Crypto (H)-abundant Semigroups |
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| KONG Xiangzhi,YUAN Zhiling.Normal Crypto (H)-abundant Semigroups[J].Advances in Mathematics,2007,36(5):539-545. |
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| Authors: | KONG Xiangzhi YUAN Zhiling |
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| Institution: | 1. School of Science, Jiangnan University, Wuxi, Jiangsu, 214122, P. R. China; 2. Department of Mathe matics, Qufu Normal University, Qufu, Shandong, 273165, P. R. China |
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| Abstract: | Green's relations are generalized to Green's ～-relations and the semilattice decompositionof crypto (H)-abundant semigroups is given. By using this decomposition, we show that an (H)-abundant semigroup is a normal crypto (H)-abundant semigroup if and only if it is a strong semilattice of completely (J)-simple semigroups. |
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| Keywords: | homomorphism natural partial order semilattice decomposition |
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