Hostname: page-component-6bb9c88b65-znhjv Total loading time: 0 Render date: 2025-07-27T06:32:03.465Z Has data issue: false hasContentIssue false
  • English
  • Français

Interval semirings on R1 with ordinary multiplication

Published online by Cambridge University Press:  09 April 2009

K. R. Pearson
K. R. Pearson
Affiliation:
University of AdelaideSouth Australia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The study of topological semirings, initiated by Selden [5], arises naturally from the theory of topological semigroups. It is of interest to take a known multiplication and investigate the possible additions. Selden has done this in [5] for several compact semirings.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 3 , August 1966 , pp. 273 - 288
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Aczél, J., Vorlesungen über Funktionalgleichungen und ihre Anwendungen, Mathematische Rejhe - Band 25, Birkhäuser Verlag, Basel, 1961.Google Scholar
[2]Aczél, J., ‘A solution of some problems of K. Borsuk and L. Jánossy’, Acta Phys. Acad. Sci. Hung. 4 (1955), 351–362.CrossRefGoogle Scholar
[3]Bohnenblust, A., ‘An axiomatic characterization of Lp-spaces’, Duke Math. J. 6 (1940), 627–640.CrossRefGoogle Scholar
[4]Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers, Oxford, London, 1954.Google Scholar
[5]Selden, , John, , Theorems on topological semigroups and semirings, University of Georgia, Doctoral Dissertation, 1963.Google Scholar