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Some Properties on Regular ～*-Semigroups and One Sided Homomorphisms on Semigroups

Author: MaQing
Tutor: ZhengHengWu
School: Qufu Normal University
Course: Basic mathematics
Keywords: regular* semigroup partial order unitary set subdirect product E-unitary cover spined product semidirect product one sided homomorphism
CLC: O152.7
Type: Master's thesis
Year: 2006
Downloads: 20
Quote: 0
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Abstract


This paper is devoted exclusively to the properties on regular *- semigroups and one sided homomorphisms on semigroups. It contians four sections.Section one is introduction.In section 2, a partial order on a regular *- semigroup is described, and some sufficient and necessary conditions for the natural partial order to be compatiable are given. Furthermore, the properties on a unitary set of a regular *- semigroup are discussed.In section 3, a construction of all subdirect products of regular *- semigroups is obtained. As an application, E-unitary covers for regular *- semigroups is investigated. Furthermore, the spined products are discussed. In the end of the section, the semidirect products are discussed.In section 4, a concept of one sided homomorphism is introduced, and some corresponding resules are presented.

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