Artinian level modules and cancellable sequences
2004 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 280, no 2, 610-623 p.Article in journal (Refereed) Published
In order to use dualization to study Hilbert functions of artinian level algebras we extend the notion of level sequences and cancellable sequences, introduced by Geramita and Lorenzini, to include Hilbert functions of certain artinian modules. As in the case of algebras a level sequence is cancellable, but now by dualization its reverse is also cancellable which gives a new condition on level sequences. We also give a characterization of the cancellable sequences involving Macaulay representations.
Place, publisher, year, edition, pages
2004. Vol. 280, no 2, 610-623 p.
Betti numbers; Cancellable sequence; Graded algebra; Graded dual; Graded module; Hilbert function; Level algebra; Level module; Level sequence; Lexicographic ideal; Lexicographic submodule
IdentifiersURN: urn:nbn:se:kth:diva-6738DOI: 10.1016/j.jalgebra.2004.05.022ISI: 000224037300012ScopusID: 2-s2.0-17344364544OAI: oai:DiVA.org:kth-6738DiVA: diva2:11532
QC 20100819 QC 201109142007-01-122007-01-122011-09-14Bibliographically approved