| 双循环半群上的同余关系 |
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| 引用本文： | 关艺,任苗苗,陈益智.双循环半群上的同余关系[J].纯粹数学与应用数学,2014,30(4):435-440. |
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| 作者姓名： | 关艺 任苗苗 陈益智 |
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| 作者单位： | 1. 西北大学数学学院,陕西西安,710127
2. 广东惠州学院数学系,广东惠州,516007 |
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| 基金项目： | 广东高校优秀青年创新人才培养计划项目 |
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| 摘 要： | 从双循环半群的同余关系出发,讨论了幂等元所在的同余类,证明了双循环半群上的一类同余ρd(d∈N)与其逆子半群之间的相互唯一确定关系,并对这种同余做成的集合进行了刻画,证明了这种同余做成的格与自然数集在某种偏序下做成的格同构,得到了一些有意义的结果.
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| 关 键 词： | 双循环半群 同余 逆子半群 子格 |
Congruence relations on a bicyclic semigroup |
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| Guan Yi,Ren Miaomiao,Chen Yizhi.Congruence relations on a bicyclic semigroup[J].Pure and Applied Mathematics,2014,30(4):435-440. |
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| Authors: | Guan Yi Ren Miaomiao Chen Yizhi |
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| Institution: | Guan Yi, Ren Miaomiao, Chen Yizhi (1. Department of Mathematics, Northwest University, Xi＇an 710127, China; 2. Department of Mathematics, Huizhou University, Huizhou 516007, China) |
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| Abstract: | This paper is devoted to study congruences on a bicyclic semigroup. It is shown that unique bijection between a class of congruences ρd（d ∈ N） on it and its inverse subsemigroups. Also of such congruences and the lattice of natural numbers under some partial order are isomorphic there is an the lattice |
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| Keywords: | bicyclic semigroup congruence inverse subsemigroup sublattice |
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