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Proceedings of the American Mathematical Society

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A note on the construction of quasifields


Author: N. L. Johnson
Journal: Proc. Amer. Math. Soc. 29 (1971), 138-142
MSC: Primary 50.70
DOI: https://doi.org/10.1090/S0002-9939-1971-0275276-6
MathSciNet review: 0275276
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Abstract: Ostrom has extended certain finite nets to affine planes. In the present article, we extend Ostrom's results to the infinite case. We also develop a method of constructing quasifields and, in particular, a construction of semifields from given semifields. Some examples are also given.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0275276-6
Keywords: Quasifield, derivable nets, transversal, net extension, semifield
Article copyright: © Copyright 1971 American Mathematical Society

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