A note on Seall's projective substitution (Q793974)
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scientific article; zbMATH DE number 3857834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Seall's projective substitution |
scientific article; zbMATH DE number 3857834 |
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A note on Seall's projective substitution (English)
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1984
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\textit{R. Seall} has introduced a quaternary operation, called projective substitution, for the points of a line in a projective plane \(\pi\) and has shown that \(\pi\) is a Pappus plane if and only if the projective substitution is superassociative in Menger's sense [J. Geom. 4, 11-23 (1974; Zbl 0268.50012)]. The author proves that \(\pi\) is a Moufang plane if and only if an associativity-type and two cancellation-type conditions hold.
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quaternary operation
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associativity-type
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cancellation-type
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0.82593596
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