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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
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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.

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
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[5]Selden, , John, , Theorems on topological semigroups and semirings, University of Georgia, Doctoral Dissertation, 1963.Google Scholar