The weak Lefschetz property for Artinian Gorenstein algebras of codimension three
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106305
Abstract: Abstract We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Apery set of a numerical semigroup generated by four natural… read more here.
Keywords: gorenstein algebras; algebras codimension; artinian gorenstein; weak lefschetz ... See more keywords
The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.07.008
Abstract: Abstract It has been conjectured that all graded Artinian Gorenstein algebras of codimension three have the weak Lefschetz property over a field of characteristic zero. In this paper, we study the weak Lefschetz property of… read more here.
Keywords: lefschetz property; gorenstein algebras; codimension three; weak lefschetz ... See more keywords
Lefschetz property and powers of linear forms in [x,y,z]
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2017-0059
Abstract: In [9], Migliore, Miro-Roig and Nagel, proved that if $R = \mathbb{K}[x,y,z]$, where $\mathbb{K}$ is a field of characteristic zero, and $I=(L_1^{a_1},\dots,L_r^{a_4})$ is an ideal generated by powers of 4 general linear forms, then the… read more here.
Keywords: lefschetz property; powers linear; general linear; linear forms ... See more keywords