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A Point Model for the Free Cyclic Submodules over Ternions

A Point Model for the Free Cyclic Submodules over Ternions

We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T 2, where T is the ring of ternions over a commutative field, admits a point model in terms of a smooth algebraic variety.