Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Chains which are coset spaces of $ tl$-groups

Author: Robert L. Madell
Journal: Proc. Amer. Math. Soc. 25 (1970), 755-759
MSC: Primary 06.75
MathSciNet review: 0263716
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ G$ be a lattice-ordered group with a topology with which $ G$ is a Hausdorff topological group and topological lattice. Let $ N$ be a closed prime convex $ l$-subgroup of $ G$ and let $ G/N$ denote the topological chain of right cosets of $ N$. It is shown that if $ G$ is locally compact, locally connected, or locally convex then $ G/N$ is either discrete or has precisely the interval topology.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06.75

Retrieve articles in all journals with MSC: 06.75

Additional Information

PII: S 0002-9939(1970)0263716-7
Keywords: Lattice-ordered group, topological group, topological lattice, closed prime convex $ l$-subgroup, coset space
Article copyright: © Copyright 1970 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia