The space of homogeneous preserving semistar operations on graded domains (Q2081194)

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scientific article; zbMATH DE number 7600346
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The space of homogeneous preserving semistar operations on graded domains
scientific article; zbMATH DE number 7600346

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    The space of homogeneous preserving semistar operations on graded domains (English)
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    12 October 2022
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    In this paper, the author studies the space of homogeneous preserving semistar operations on a graded ring \(R=\displaystyle\bigoplus_{\alpha\in \Gamma}R_{\alpha}\) graded by an arbitrary grading torsionless monoid \(\Gamma\). The main result states that the set \(SStar_{f, hp}(R)\) of finite type, homogeneous preserving semistar operations on \(R\), endowed with the Zariski topology, is a spectral space.
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    semistar operation
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    homogeneous preserving semistar operation
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    Kronecker function ring
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    graded domain
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    Gr-valuation domain
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    spectral space
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