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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…
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Keywords:
gorenstein algebras;
algebras codimension;
artinian gorenstein;
weak lefschetz ... See more keywords
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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…
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Keywords:
lefschetz property;
gorenstein algebras;
codimension three;
weak lefschetz ... See more keywords
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Published in 2020 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439520001022
Abstract: Abstract We introduce a weak Lefschetz-type result on Chow groups of complete intersections. As an application, we can reproduce some of the results in [P]. The purpose of this paper is not to reproduce all…
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Keywords:
chow groups;
complete intersections;
result chow;
weak lefschetz ... See more keywords