右消去幺半群、左正则带和左正则型A幺半群

Right Cancellative Monoids, Left Regular Bands and Left Regular Type A Monoids

中文关键词:  右消去幺半群  左正则带  左正则型A幺半群  P－覆盖

英文关键词:right cancellative monoid  left regular band  left regular type A monoid  P-cover

中文摘要:

      本文利用右消去幺半群，左正则带建立了真左正则型A幺半群．在证明了任一左正则型A幺半群均有P－覆盖后，给出P－覆盖的结构．

英文摘要:

      In this paper the structure of proper left regular type A monoids is established in terms of right cancellative monoids and leftregular bands. After it is proved that every left regular type A monoid always has a P-cover, the structure of such cover is given.