THE EVANS-GRIFFITH SYZYGY THEOREM AND BASS NUMBERS
DC Element | Wert | Sprache |
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dc.contributor.author | BRUNS, W | |
dc.date.accessioned | 2021-12-23T16:05:24Z | - |
dc.date.available | 2021-12-23T16:05:24Z | - |
dc.date.issued | 1992 | |
dc.identifier.issn | 00029939 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/6968 | - |
dc.description.abstract | Let (R, m) be a Noetherian local ring containing a field. The syzygy theorem of Evans and Griffith (see The syzygy problem, Ann. of Math. (2) 114 (1981), 323-353) says that a nonfree mth syzygy module M over R which has finite projective dimension must have rank greater-than-or-equal-to m. This theorem is an assertion about the ranks of the homomorphisms in certain acyclic complexes. It is the aim of this paper to demonstrate that the condition of acyclicity can be relaxed in a natural way. We shall use the generalization thus obtained to show that the Bass numbers of a module satisfy restrictions analogous to those which the syzygy theorem imposes on Betti numbers. | |
dc.language.iso | en | |
dc.publisher | AMER MATHEMATICAL SOC | |
dc.relation.ispartof | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | |
dc.subject | COHEN-MACAULAY MODULES | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.title | THE EVANS-GRIFFITH SYZYGY THEOREM AND BASS NUMBERS | |
dc.type | journal article | |
dc.identifier.doi | 10.2307/2159338 | |
dc.identifier.isi | ISI:A1992JF70400010 | |
dc.description.volume | 115 | |
dc.description.issue | 4 | |
dc.description.startpage | 939 | |
dc.description.endpage | 946 | |
dc.publisher.place | 201 CHARLES ST, PROVIDENCE, RI 02940-2213 | |
dcterms.isPartOf.abbreviation | Proc. Amer. Math. Soc. | |
dcterms.oaStatus | Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
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geprüft am 17.05.2024