No CrossRef data available.
Article contents
Compact Semirings Which are Multiplicatively 0-Simple1
Published online by Cambridge University Press: 09 April 2009
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.
A topological semiring is a system (S, +, ⋅) where (S, +) and (S, ⋅) are topological semigroups and the distributive laws 
, hold for all x, y, z in S; + and ⋅ are called addition and multiplication respectively.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 320 - 329
- Copyright
- Copyright © Australian Mathematical Society 1969
References
[1]Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. I (Amer. Math. Soc., 1961).Google Scholar
[2]Koch, R. J. and Wallace, A. D., ‘Maximal ideals in compact semigroups’, Duke Math. J. 21 (1954), 681–685.CrossRefGoogle Scholar
[3]Miranda, A. B. Paalman-de, Topological semigroups (Mathematisch Centrum, Amsterdam, 1964).Google Scholar
[4]Pearson, K. R., ‘Compact semirings which are multiplicatively groups or groups with zero’, Math. Zeitschr. 106 (1968), 388–394.CrossRefGoogle Scholar
[5]Pearson, K. R., ‘The three kernels of a compact semiring’, J. Australian Math. Soc. 10 (1969), 299–319.CrossRefGoogle Scholar
[6]Selden, J., Theorems on topological semigroups and semirings (Doctoral Dissertation, University of Georgia, 1963).Google Scholar
[7]Selden, J., ‘Left zero simplicity in semirings’, Proc. Amer. Math. Soc. 17 (1966), 694–698.Google Scholar
[8]Wallace, A. D., ‘Cohomology, dimension and mobs’, Summa Brasil. Math. 3 (1953), 43–54.Google Scholar
[9]Wallace, A. D., ‘The Rees-Suschkewitsch structure theorem for compact simple semigroups’, Proc. Nat. Acad. Sci. 42 (1956), 430–432.CrossRefGoogle ScholarPubMed
You have
Access