Structure of normal semisuperabundant semigroups
Liu Kai-zhen
Abstract
Liu Kai-zhen
Abstract
The usual Green relations,*-Green relations were generalized toρ-Green relations and the semilattice decomposition of a kind of semisuperabundant semigroups was given.By utilizing the semilattice decomposition,it was proved that a semisuperabundant semigroup is a normal semisuperabundant semigroup if and only if it is a strong semilattice of completely J~ρ-simple semigroups.
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The usual Green relations,*-Green relations were generalized toρ-Green relations and the semilattice decomposition of a kind of semisuperabundant semigroups was given.By utilizing the semilattice decomposition,it was proved that a semisuperabundant semigroup is a normal semisuperabundant semigroup if and only if it is a strong semilattice of completely J~ρ-simple semigroups.
Key concepts: Semilattice, Mathematics, Semigroup, Decomposition, Simple (philosophy), Pure mathematics, Special classes of semigroups, Discrete mathematics