Automorphisms of semigroups of continuous functions

Author:

Wood G. R.

Abstract

AbstractCertain semigroups of continuous selfmaps of the closed unit interval are shown to have the property that all their automorphisms are inner. Contrary to expectation, certain other such semigroups do have outer automorphisms.1980 Mathematics subject classification (Amer. Math. Soc.): primary 20 M 20; secondary 54 C 40.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference11 articles.

1. Semigroups of Continuous Functions

2. Automorphisms of semigroups of topological mappings;Gluskin;Izv. Vyss. Ucebn. Zaved. Matematika,1960

3. Automorphisms of transformation semigroups

4. On the Group of Homeomorphisms of an Arc

5. Maximal ideals of semigroups of endomorphisms

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Continuous nilpotents on topological spaces;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1987-08

2. Automorphism invariants for semigroups;Semigroup Forum;1986-12

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