A new proof of Stanley’s theorem on the strong Lefschetz property
Tom 173 / 2023
Colloquium Mathematicum 173 (2023), 1-8
MSC: Primary 13C40; Secondary 13E10, 14M10.
DOI: 10.4064/cm8987-11-2022
Opublikowany online: 24 January 2023
Streszczenie
A standard graded artinian monomial complete intersection algebra , with \Bbbk a field of characteristic zero, has the strong Lefschetz property defined by Stanley in 1980. In this paper, we give a new proof for this result by using only the basic linear algebra. Furthermore, our proof is still valid in the case where the characteristic of \Bbbk is greater than the socle degree of A, namely a_1+\cdots +a_n - n.
