逆自动机与逆摹群:含幺半格的Schützenberger图  

Inverse Automata and Inverse Monoid: Schützenberger-Graphs of a Semilattice with Identity

作　　者：朱用文[1] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台市264005

出　　处：《烟台大学学报（自然科学与工程版）》2004年第3期157-160,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10071066).

摘　　要：一个逆摹群的结构能够由其表示的Sch櫣tzenberger图的完全集确定.AnaOliveira等人根据Sch櫣tzenberger图刻划了两个逆摹群类,包括幂等一致摹群与Clifford摹群,给出了充分必要条件.本文按照同样的思想,进一步刻划了Clifford摹群的一个重要子类 含幺半格,也给出了充分必要条件.It is known that the structure of an inverse monoid can be determined by the complete set of the Schützenberger-graphs of any presentation of this moniod, according to which, Ana Oliveira and Pedro V. Silva characterized two classes of inverse semigroups, E-unitary and Clifford monoids, and gave the sufficient and necessary conditions for them. By this way, the lattices with identities as a important subclass of Clifford monoids are further characterized and the corresponding sufficient and necessary conditions are also given.

关 键 词：逆半群 摹群 半格 逆图 Schützenberger图 

分 类 号：O152.7[理学—数学] O157.6[理学—基础数学]