【作者】 江洪；

【导师】 田振际；

【作者基本信息】 兰州理工大学 ， 应用数学， 2008， 硕士

【摘要】 本文研究E-酉逆半群和E-自反逆半群第一部分是预备知识。第二部分对双循环半群进行了推广,定义了一种n循环半群,通过分析其运算给出了其自然表示,证明了该n循环半群不是双单的,并且只有含幂等元的那个D-类是正则的。第三部分对多循环半群进行了研究,讨论了多循环半群的置换性质,证明了当n≥3时,多循环半群有置换性质(?)_n。第四部分用对偶准同态刻划了E-自反逆半群。更多还原

【Abstract】 In this paper,the concepts of E-unitary inverse semigroups and E-reflexive inverse semigroups are introduced.In the first part,basic knowledge is introduced.In the second part,bicyclic semigroups are studied,as a generalization of bicyclic semigroups;a kind of n-cyclic semigroup is defined.By analyzing the multiplication, its natural representations are given.We proved that the n-cyclic semigroup is not bisimple,and only the D-class containing idempotents is regular.In the third part,polycyclic semigroups are studied,the permutation property of the polycyclic semigroups has been discussed,and the results have shown polycyclic semigroup has permutation property(?)_n,n≥3.In the fourth part,E-reflexive inverse semigroups are characterized in terms of dual-prehomomorphisms.更多还原