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Theorems of convex subgroups of semifields and vector spaces over semifields

A triple (K, +, .) is called a semifield if (1) (K, .) is an abelian group with zero 0, (2) (K, +) is a commutative semigroup with identity 0, and (3) for all x, y, z K, x(y+z) = xy+xz. A nonempty subset C={0} is a convex subgroup of K if (1) for all x, y C, y = 0 implies x/y C, and (2) for all x, y C, alpha, beta K, with alpha + beta = 1, alpha x ...
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Fractional dimension of binary Knuth semifield planes

Journal of Combinatorial Designs, 2012
Olga Polverino, Rocco Trombetti
exaly  

On symplectic semifield spreads of PG(5,q 2), q odd

Forum Mathematicum, 2018
Giuseppe Marino, Valentina Pepe
exaly  

On Elations of Derived Semifield Planes

Proceedings of the London Mathematical Society, 1977
Johnson, N. L., Rahilly, Alan
openaire   +2 more sources

Derived semifield planes with affine elations

Journal of Geometry, 1982
Mauro Biliotti, Biliotti Mauro
exaly  

Collineation groups of derived semifield planes

Archiv Der Mathematik, 1973
N L Johnson, Johnson N L
exaly  

Semifield Metrizability

Mathematics Seminar Notes, 1975
Jaiswal, Anuradha, Singh, Bijendra
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A note on the derived semifield planes of order 16

Aequationes Mathematicae, 1977
N L Johnson, Johnson N L
exaly  

Ovals in commutative semifield planes

Archiv Der Mathematik, 1997
Gabor Korchmáros, Korchmáros Gabor
exaly  

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