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arXiv · 1304.0181

Radical parallelism on projective lines and non-linear models of affine spaces

Andrea Blunck·Hans Havlicek
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Abstract

We introduce and investigate an equivalence relation called "radical parallelism" on the projective line over a ring. It is closely related with the Jacobson radical of the underlying ring. As an application, we present a rather general approach to non-linear models of affine spaces and discuss some particular examples.

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Andrea Blunck, Hans Havlicek. 2013-03-31. Radical parallelism on projective lines and non-linear models of affine spaces. https://arxiv.org/abs/1304.0181

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