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<p>We interpret in the setting of modules over schemes classical results pertaining to involutions of the first kind on algebras <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1261_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="69" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\,\textrm{End}\,}}_R(V)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mrow> <mspace width="0.166667em" /> <mtext>End</mtext> <mspace width="0.166667em" /> </mrow> <mi>R</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>V</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, where <i>V</i> is a faithfully projective <i>R</i>-module.</p>

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A note on isomorphisms of sheaves of endomorphisms of locally finitely presented \(\mathscr {O}_X\)-modules with involution

  • 期刊论文

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  • 发表日期：

    2025年2月6日

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  • Patrice Ntumba

摘要

We interpret in the setting of modules over schemes classical results pertaining to involutions of the first kind on algebras \({{\,\textrm{End}\,}}_R(V)\) End R ( V ) , where V is a faithfully projective R-module.