Category of graded modules and Macaulay’s inverse system
キーワード:
Macaulay’s inverse system,
the weak Lefschetz property,
standard graded Artinian level algebras,
trivial extensions
2020 年 11 巻 p. 39-48
詳細
2020 年 11 巻 p. 39-48
In this article, we establish the fundamentals of Macaulay’s inverse system by using inner homomorphism of the category of graded modules. As an application, we prove the theorem concerning failure of the weak Lefschetz property for trivial extensions of standard graded Artinian level algebras.
