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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2010
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/1012.1459 |
| Etiquetas: |
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- Given the algebra $T$ of ternions (upper triangular $2\times 2$ matrices) over a commutative field $F$ we consider as set of points of a projective line over $T$ the set of all free cyclic submodules of $T^2$. This set of points can be represented as a set of planes in the projective space over $F^6$. We exhibit this model, its adjacency relation, and its automorphic collineations. Despite the fact that $T$ admits an $F$-linear antiautomorphism, the plane model of our projective line does not admit any duality.