The Dedekind-Mertens formula and determinantal rings

DC ElementWertSprache
dc.contributor.authorBruns, W
dc.contributor.authorGuerrieri, A
dc.date.accessioned2021-12-23T16:07:51Z-
dc.date.available2021-12-23T16:07:51Z-
dc.date.issued1999
dc.identifier.issn00029939
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/8093-
dc.description.abstractWe give a combinatorial proof of the Dedekind-Mertens formula by computing the initial ideal of the content ideal of the product of two generic polynomials. As a side effect we obtain a complete classification of the rank 1 Cohen-Macaulay modules over the determinantal rings K[X]/I-2(X).
dc.language.isoen
dc.publisherAMER MATHEMATICAL SOC
dc.relation.ispartofPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.subjectCohen-Macaulay module
dc.subjectDedekind-Mertens formula
dc.subjectdeterminantal ring
dc.subjectinitial ideal
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.titleThe Dedekind-Mertens formula and determinantal rings
dc.typejournal article
dc.identifier.doi10.1090/S0002-9939-99-04535-9
dc.identifier.isiISI:000078570500003
dc.description.volume127
dc.description.issue3
dc.description.startpage657
dc.description.endpage663
dc.contributor.orcid0000-0002-2809-3179
dc.identifier.eissn10886826
dc.publisher.place201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
dcterms.isPartOf.abbreviationProc. Amer. Math. Soc.
dcterms.oaStatusBronze
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
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