Quasi Strong Semilattice Decomposition of Regular Cryptogroups

Zhiling Yuan · Journal of Mathematical Research and Exposition · 2005

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 )).

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