独异点的同构定理和独异点列

随着自动机理论的发展,独异点(monoid,即含单位元的半群)理论得到了重要的应用,其地位也日益提高。虽然,作为泛代数(universal algebra)的特例之独异点的同构定理等早巳随着泛代数有关定理的给出(见1],2])而给出了,但其反映不出独异点的特点。特别是如何把独异点与群在这方面统一地描述出来,更是许多人所关注的问题。Jacobson在3]内就这样做了,但很不完美;4]就一种极特殊的情形,给出了

Isomorphism Theorems for Monoids and Monoid Series

In this paper we investigate, in a manner similar to that of groups, two isomorphism theorems for monoids, normal series of monoids and fundamental theorem of normal series for some particular monoids.