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2006•Yunnan Daxue xuebao. Shehui kexue banRequires access

Semidirect products on LR-inverse semigroup

Ronghua Zhang

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Abstract

The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups.It is continued inverstigate semidirect products of LR-inverse semigroup.A sufficient and necessary condition such that the semidirect(direct) product of two semigroups is an LR-inverse semigroup is given.Finally,it is proved that the semidirect product of a semilattice and a right inverse semigroup.

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What this paper is about

The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups.It is continued inverstigate semidirect products of LR-inverse semigroup.A sufficient and necessary condition such that the semidirect(direct) product of two semigroups is an LR-inverse semigroup is given.Finally,it is proved that the semidirect product of a semilattice and a right inverse semigroup.

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Available abstract

The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups.It is continued inverstigate semidirect products of LR-inverse semigroup.A sufficient and necessary condition such that the semidirect(direct) product of two semigroups is an LR-inverse semigroup is given.Finally,it is proved that the semidirect product of a semilattice and a right inverse semigroup.

Key concepts: Semidirect product, Semilattice, Inverse semigroup, Mathematics, Inverse, Inverse element, Semigroup, Cancellative semigroup

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