A remark on the homomorphism on 𝐶(𝑋)-Reference-Cited by-同舟云学术

A remark on the homomorphism on 𝐶(𝑋)

Published:2005-06-28 Issue:12 Volume:133 Page:3609-3611
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ercan Z.,Onal S.

Abstract

Let X X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C ( X ) C(X) is determined by a point.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-12/S0002-9939-05-07930-X/S0002-9939-05-07930-X.pdf

Reference4 articles.

1. Homomorphisms on 𝐶(𝑅);Aron, Richard M.;Amer. Math. Monthly,1986

2. Sigma Series in Pure Mathematics;Engelking, Ryszard,1989

3. The University Series in Higher Mathematics;Gillman, Leonard,1960

4. Comment: “Homomorphisms on 𝐶(𝑅)” [Amer. Math. Monthly 93 (1986), no. 7, 555; MR0856297 (87i:46109)] by R. M. Aron and G. H. Fricke;Pursell, Lyle E.;Amer. Math. Monthly,1987

Cited by 11 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. Some properties of algebras of real-valued measurable functions;Archivum Mathematicum;2023

2. On some properties of CV_{(0)}(X, A);Acta et Commentationes Universitatis Tartuensis de Mathematica;2022-11-23

3. $$C(X)$$ C ( X ) Versus its Functionally Countable Subalgebra;Bulletin of the Iranian Mathematical Society;2018-07-12

4. On a question of $C_c(X)$;Commentationes Mathematicae Universitatis Carolinae;2016-07-05

5. On algebras of Banach algebra-valued bounded continuous functions;Rocky Mountain Journal of Mathematics;2016-04-01