A CLASS OF HILBERT SERIES AND THE STRONG LEFSCHETZ PROPERTY

作者：Lindsey Melissa^*

来源：Proceedings of the American Mathematical Society, 2011, 139(1): 79-92.

• Hilbert series
• strong Lefschetz property

We determine the class of Hilbert series 74 so that if M is a finitely generated zero-dimensional R-graded module with the strong Lefschetz property, then M circle times(k) k[y]/(y(m)) has the strong Lefschetz property for an indeterminate y and all positive integers m if and only if the Hilbert series of M is in H. Given two finite graded R-modules M and N with the strong Lefschetz property, we determine sufficient conditions in order that M circle times(k) N has the strong Lefschetz property.

• 出版日期2011-1