Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Frames associated with an abelian $ l$-group


Author: James J. Madden
Journal: Trans. Amer. Math. Soc. 331 (1992), 265-279
MSC: Primary 06F20; Secondary 18B30, 46S99, 54A05, 54H10
MathSciNet review: 1042288
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Every archimedean $ l$-group (lattice-ordered group) with weak unit is shown to be isomorphic to a sub-$ l$-group of the $ l$-group of continuous realvalued functions on a Tychonoff locale canonically associated with the $ l$-group. This strengthens the classical Yosida representation theorem in a useful way. The proof uses methods from universal algebra and is constructive.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 06F20, 18B30, 46S99, 54A05, 54H10

Retrieve articles in all journals with MSC: 06F20, 18B30, 46S99, 54A05, 54H10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1042288-2
PII: S 0002-9947(1992)1042288-2
Keywords: Yosida representation, archimedean $ l$-group, relatively uniform convergence, frame, locale, $ \sigma $-frame
Article copyright: © Copyright 1992 American Mathematical Society