A note on the construction of quasifields
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- by N. L. Johnson PDF
- Proc. Amer. Math. Soc. 29 (1971), 138-142 Request permission
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.References
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G. Bjork, On finite nets associated with vector spaces, Ph.D. Thesis, Washington State University, Pullman, Wash., 1966.
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Additional Information
- © Copyright 1971 American Mathematical Society
- 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