On the Inverse Syzygy Problem |
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| Authors: | Eva Zerz Werner M Seiler Marcus Hausdorf |
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| Institution: | 1. Lehrstuhl D für Mathematik , RWTH Aachen University , Aachen, Germany eva.zerz@math.rwth-aachen.de;3. AG Computational Mathematics , Universit?t Kassel , Kassel, Germany |
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| Abstract: | We present a constructive solution of the inverse syzygy problem over arbitrary coherent rings. By relating the existence of a kernel representation to torsionlessness instead of the more common torsionfreeness, we do not need to assume the existence of a quotient field. As a by-product, we obtain an algorithm to compute the extension groups of finitely presented modules. |
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| Keywords: | Coherent rings Extension groups Syzygies Torsionfree modules Torsionless modules |
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