三类变换半群的秩或极大性子半群.pdf

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摘要···················································································I

Abstract···················································································II

1引言与预备知识·····································································1

1.1引言··············································································1

1.2预备知识·······································································3

2半群,的秩和平方幂等元秩················································4

2.1半群,的秩·································································5

2.2半群,的平方幂等元秩················································13

3半群,的特殊极大正则子半群··············································17

3.1半群,的-型极大正则子半群·····································17

3.2半群,的-型极大正则子半群·····································21

3.3半群,的理想的极大(正则)子半群·······························24

4半群,的两类特殊子半群的一些结果···································29

4.1半群(,)的极大(完全)独立子半群····························29

4.2半群(,)的非群元秩和相关秩·································36

5总结与展望············································································46

5.1论文的工作与总结·························································46

5.2展望··············································································46

参考文献···················································································47

致谢···················································································52

发发发表表表论论论文文文及及及项项项目目目········································································53

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