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Generic splitting
algebras for Pic
Gerald Seymour Garfinkel |
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Vol. 35 (1970), No. 2, 369–380
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Abstract |
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Our purpose is to develop a splitting theory for the functor Pic. For each rank one projective module P, we exhibit a generic splitting algebra T∞(P∕R). Whenever n is a multiple of the order of P in Pic (R), it has a splitting algebra which is a rank n projective module. We then show the relationship of the latter algebra to the usual splitting ring of an ideal in a Dedekind domain. |
Mathematical Subject Classification
Primary: 13.90
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Milestones
Received: 10 March 1970
Published: 1 November 1970
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Authors |
| Gerald Seymour Garfinkel | |
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