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Free commutative semifields

Published online by Cambridge University Press:  17 April 2009

B.J. Gardner  and
Ottó Steinfeld
B.J. Gardner
Affiliation:
Department of Mathematics, The University of Tasmania, GPO Box 252C Hobart, Tas. 7001, Australia
Ottó Steinfeld
Affiliation:
Department of Mathematics, The University of Tasmania, GPO Box 252C Hobart, Tas. 7001, Australia
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A description is obtained of the free semifields with both fundamental operations commutative.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 1 , August 1993 , pp. 41 - 46
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Clifford, A.H. and Preston, G.B., The algebraic theory of semigroups Vol. 1 (American Mathematical Society, Providence, 1961).Google Scholar
[2]Hutchins, H.C. and Weinert, H.J., ‘Homomorphisms and kernels of semifields’, Period. Math. Hungar. 21 (1990), 113–152.CrossRefGoogle Scholar
[3]Rédei, L., Algebra I (Pergamon Press, London, 1977).Google Scholar
[4]Weinert, H.J., ‘Über Halbringe und Halbkörper I’, Acta. Math. Acad. Sci. Hungar. 13 (1962), 365–378.CrossRefGoogle Scholar
[5]Weinert, H.J., ‘On 0-simple semirings, semigroup semirings, and two kinds of division semirings’, Semigroup Fourm 28 (1984), 313–333.CrossRefGoogle Scholar