Aufsatz in einer Fachzeitschrift
ON THE INVERSE SYZYGY PROBLEM
Details zur Publikation
Autor(inn)en: | Seiler, W. |
Publikationsjahr: | 2010 |
Zeitschrift: | Communications in Algebra |
Seitenbereich: | 2037-2047 |
Jahrgang/Band : | 38 |
Erste Seite: | 2037 |
Letzte Seite: | 2047 |
ISSN: | 0092-7872 |
Zusammenfassung, 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.
