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Decidability of the Equational Theory of the Continuous Geometry CG(Bbb {F})
Authors:John Harding
Affiliation:1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, 88003-8001, New Mexico
Abstract:For $Bbb {F}$ the field of real or complex numbers, let $CG(Bbb {F})$ be the continuous geometry constructed by von Neumann as a limit of finite dimensional projective geometries over $Bbb {F}$ . Our purpose here is to show the equational theory of $CG(Bbb {F})$ is decidable.
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