Journal article
ON THE INVERSE SYZYGY PROBLEM
Publication Details
Authors: | Seiler, W. |
Publication year: | 2010 |
Journal: | Communications in Algebra |
Pages range : | 2037-2047 |
Volume number: | 38 |
Start page: | 2037 |
End page: | 2047 |
ISSN: | 0092-7872 |
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.
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.
