群的正则带的拟强半格分解

Quasi Strong Semilattice Decomposition of Regular Cryptogroups

中文关键词:  拟强半格分解  正则带  同余

英文关键词:quasi strong semilattice decomposition  regular band  congruence

中文摘要:

      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L|_Sβ?ρ_α,β(?α,β∈Y, α≥β))

英文摘要:

      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 L|_Sβ?ρ_α,β(?α,β∈Y, α≥β)).