The strong Lefschetz property for Artinian algebras with non-standard grading

Details The strong Lefschetz property for Artinian algebras with non-standard grading The strong Lefschetz property for Artinian algebras with non-standard grading

2007-02-15

arxiv.org/abs/math/0702444v1

Mathematics

Commutative Algebra

24 pages, To appear in Journal of Algebra

Scientific paper

We define the strong Lefschetz property for finite graded modules over graded Artinian algebras whose grading is not necessarily standard. We show that most results which have been obtained for Artinian algebras with standard grading can be extended for non-standard grading. Our results on the strong Lefschetz property for non-standard grading can be used to prove that certain Artinian complete intersections with standard grading have the strong Lefschetz property.

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