| 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?ρα,β(?α,β∈Y, α≥β)). |
