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Artin level modules
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-9961-383X
2000 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 226, no 1, 361-374 p.Article in journal (Refereed) Published
Abstract [en]

We introduce level modules and show that these form a natural class of modules over a polynomial ring. We prove that there exist compressed level modules, i.e., level modules with the expected maximal Hilbert function, given socle type and the number of generators. We also show how to use the theory of level modules to compute minimal free resolutions of the coordinate ring of points from the back, which reveals new examples where random sets of points fail to satisfy the minimal resolution conjecture.

Place, publisher, year, edition, pages
2000. Vol. 226, no 1, 361-374 p.
Keyword [en]
graded algebra, graded module, level ring, level algebra, Gorenstein algebra, Cohen-Macaulay ring, compressed algebra, Hilbert function, Betti numbers, unimodality, minimal resolution conjecture, canonical module, Matlis duality, compressed algebras, points
URN: urn:nbn:se:kth:diva-19660ISI: 000086254000021OAI: diva2:338352
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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