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

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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.
24 pages, To appear in Journal of Algebra

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Commutative Algebra, 13A99; 13H10

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http://salesiana.dossiersoluciones.com/handle/123456789/124042

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702444
 http://arxiv.org/abs/math/0702444

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arXiv