Artinian level modules and cancellable sequences

JOURNAL OF ALGEBRA

卷:280

Article

Söderberg, J

关键词: level algebra;    level module;    hilbert function;    Betti numbers;    graded algebra;    graded module;    lexicographic ideal;    lexicographic submodule;    level sequence;    cancellable sequence;    graded dual;   

DOI  :  10.1016/j.jalgebra.2004.05.022

来源: Elsevier

【 摘 要 】

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. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free