| 摘要: |
| 设On和POn分别是集合Xn={1,2,…,n}上的保序变换半群和保序部分变换半群.刻画了On到POn的所有同态，并给出了On到POn的同态的个数. |
| 关键词: 同态 同态核 同余 |
| DOI： |
| 分类号: |
| 基金项目: |
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| The homorphisms from order preserving transformation semigroup to order preserving partial transformation semigroup |
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GAO Jingnan, YANG Xiuliang
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Department of Mathematics,Hangzhou Normal University
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| Abstract: |
| Let n be a positive integer.Let On and POn denote the order-preserving transformation semigroup and the order-preserving partial transformation semigroup on Xn={1,2,…,n} under composition respectively.We describe all homorphisms from On to POn,and give the number of homorphisms from On to POn. |
| Key words: homorphism kernel congruence |
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