群的正则带的拟强半格分解

Quasi Strong Semilattice Decomposition of Regular Cryptogroups

推广了半群的强半格分解的定义,得到了半群的拟强半格分解,并证明了完全正则半群为群 的正则(或右拟正规)带当且仅当它是完全单半群的拟强半格(且 )).

The definition of strong semilattice decomposition of semigroups is generalized, the definition of quasi strong semilattice decomposition of semigroups is given, and we prove that a completely regular semigroup is a regular (or right quasinormal) cryptogroup if and only if it is a quasi strong semilattice of completely simple semigroups (also satisfies )).