The automorphism group of a class of semi-groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1977 Germany English Publisher:Springer Science and Business Media LLCJournal:Monatshefte f�r Mathematik, volume 83, pages 53-58 (issn: 0026-9255, eissn: 1436-5081,

Copyright policy )

Authors: Szeto, George;

doi: 10.1007/bf01303012

The automorphism group of a class of semi-groups

- Summary
- Subjects
- Metrics

Abstract

Let (S,·) be a semi-group having the following properties: (1)S=∪Sα where α is in some index setI andSα are subgroups isomorphic to each other, (2)Sα∩Sβ=O, a void set for α≠β and (3) the identity ofSα is a left identity ofS for each α inI. Then the automorphism group Aut (S) ofS is studied from the point of category theory. It is proved that Aut (S) is determined by Aut (Sα) and right multiplications by the identities of groupsSα.

Country

Germany

Related Organizations

DigiZeitschriften
Germany
Bradley University
United States
University of Chicago
United States

Keywords

Near-rings, 510.mathematics, Finite automorphism groups of algebraic, geometric, or combinatorial structures, General structure theory for semigroups, Article

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average