Differential projective modules over differential rings |
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Authors: | Lourdes Juan Andy Magid |
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Institution: | 1. Department of Mathematics, Texas Tech University, Lubbock, Texas, USA;2. lourdes.juan@ttu.edu;4. Department of Mathematics, University of Oklahoma, Norman, Oklahoma, USA |
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Abstract: | Differential modules over a commutative differential ring which are projective as ring modules, with differential homomorphisms, form an additive category. Every projective ring module is shown occurs as the underlying module of a differential module. Differential modules, projective as ring modules, are shown to be direct summands of differential modules free as ring modules; those which are differential direct summands of differential direct sums of the ring being induced from the subring of constants. Every differential module finitely generated and projective as a ring module is shown to have this form after a faithfully flat finitely presented differential extension of the base. |
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Keywords: | Commutative rings differential algebra projective modules |
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