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On commutative linear algebras in which division is always uniquely possible

On commutative linear algebras in which division is always uniquely possible

1. We consider commutative linear algebras in 2n units, with coordinates in a general field F, such that n of the units define a sub-algebra forming a field F( J). The elements of the algebra may be exhibited compactly in the form A + BJ, where A and B range …