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<p>In this paper, we characterize all Artinian complete intersection <i>K</i>-algebras <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2946_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(A_F\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>A</mi> <mi>F</mi> </msub> </math></EquationSource> </InlineEquation> whose Macaulay dual generator <i>F</i> is a binomial. In addition, we prove that such complete intersection Artinian <i>K</i>-algebras <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2946_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(A_F\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>A</mi> <mi>F</mi> </msub> </math></EquationSource> </InlineEquation> satisfy the Strong Lefschetz property.</p>

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Complete Intersection Algebras with Binomial Macaulay Dual Generator

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月7日

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  • Roberta Di Gennaro,
  • Rosa M. Miró-Roig

摘要

In this paper, we characterize all Artinian complete intersection K-algebras \(A_F\) A F whose Macaulay dual generator F is a binomial. In addition, we prove that such complete intersection Artinian K-algebras \(A_F\) A F satisfy the Strong Lefschetz property.