2009•Journal of Lanzhou UniversityRequires access

Structure of normal semisuperabundant semigroups

Liu Kai-zhen

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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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What this paper is about

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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Available 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.

Key concepts: Semilattice, Mathematics, Semigroup, Decomposition, Simple (philosophy), Pure mathematics, Special classes of semigroups, Discrete mathematics

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