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This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.
Let [italic]R be a commutative ring and ([italic]R)[subscript italic]n denote the [italic]n x [italic]n matrix ring over [italic]R. In this paper we classify the [italic]R-linear mappings [italic]T : ([italic]R)[subscript italic]n [right arrow] ([italic]R)[subscript italic]n whi…