关于右型B半群的真覆盖

A PROPER COVER ON A RIGHT TYPE B SEMIGROUP

摘要: 给出了右型B半群真覆盖的定义. 证明了相应于一右型B半群的任意真覆盖为作用于左消去幺半群上的相应于该右型B半群的真覆盖,并给出了相应于右型B半群的真覆盖的结构定理.

Abstract: The concept of a proper cover of a right type B semigroup is introduced. Furthermore, it is proved that any proper cover for a right type B semigroup is a proper cover over a left cancellative monoid.A structure theorem of proper covers for a right type B semigroup is also given.