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Free Cyclic Submodules and Non-Unimodular Vectors
Finite Unital Rings Free Cyclic Submodules Non-Unimodular Vectors
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2011/9/9
Abstract: Given a finite associative ring with unity, $R$, and its two-dimensional left module, $^{2}R$, the following two problems are addressed: 1) the existence of vectors of $^{2}R$ that do not be...
Geometry of free cyclic submodules over ternions
Geometry of free cyclic submodules ternions
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2011/1/19
Given the algebra T of ternions (upper triangular 2 ×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 T2. This se...