Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T23:01:16.774Z Has data issue: false hasContentIssue false

Product semigroups

Published online by Cambridge University Press:  09 April 2009

E. E. DeVun
Affiliation:
Department of Mathematics, Wichita State University, Kansas 67208, U.S.A.
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.

In earlier work Borrego, Cohen and DeVun (1971a, b) topological semigroups which were uniquely representable in terms of two subsets were investigated. In this note we extend the definition and prove similar results for a larger class of semigroups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

Borrego, J. T., Cohen, H., and DeVun, E. E. (1971a), ‘Uniquely representable semigroups on the two-cell’, Pacific J. Math. 38, No. 3.Google Scholar
Borrego, J. T., Cohen, H., and DeVun, E. E. (1971b), ‘Uniquely representable semigroups II’, Pacific J. Math. 39, No. 2.CrossRefGoogle Scholar
Brown, D. F. and Friedberg, Michael (1968), ‘Representation theorems for uniquely divisible semigroups’, Duke Math. J. 35, 341352.Google Scholar
Brown, D. R. and Friedberg, Michael (1971), ‘Linear representations of certain compact semigroups’, Trans. Amer. Math. Soc. 160, 453465.Google Scholar
DeVun, E. E., ‘Semigroups with two-cells’, Protugaliae Mathematica, (submitted for publication).Google Scholar
Hildebrant, J. A. (1967), ‘On compact unithetic semigroups’, Pacific J. Math. 21, 265273.Google Scholar
Hinman, B. F. (1971), ‘Products of threads in topological semigroups’, Dissertation, University of Houston, Houston, Texas.Google Scholar
Hudson, A. L. (1959) ‘Some semigroups on the two-cell’, Proc. Amer. Math. Soc. 10, (648–655).Google Scholar