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Determinantal conditions for homomorphic sensing.

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Title: Determinantal conditions for homomorphic sensing.
Authors: Tsakiris, Manolis C.1,2 (AUTHOR) manolis@amss.ac.cn
Source: Linear Algebra & its Applications. Jan2023, Vol. 656, p210-223. 14p.
Subjects: Endomorphisms, Senses, Permutations
Abstract: With k an infinite field and τ 1 , τ 2 endomorphisms of k m , we provide a dimension bound on an open locus of a determinantal scheme, under which, for a general subspace V ⊆ k m of dimension n ≤ m / 2 , for v 1 , v 2 ∈ V we have τ 1 (v 1) = τ 2 (v 2) only if v 1 = v 2. Specializing to permutations composed by coordinate projections, we obtain an abstract proof of the theorem of [10]. [ABSTRACT FROM AUTHOR]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: With k an infinite field and τ 1 , τ 2 endomorphisms of k m , we provide a dimension bound on an open locus of a determinantal scheme, under which, for a general subspace V ⊆ k m of dimension n ≤ m / 2 , for v 1 , v 2 ∈ V we have τ 1 (v 1) = τ 2 (v 2) only if v 1 = v 2. Specializing to permutations composed by coordinate projections, we obtain an abstract proof of the theorem of [10]. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.laa.2022.09.026
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 210
    Subjects:
      – SubjectFull: Endomorphisms
        Type: general
      – SubjectFull: Senses
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      – SubjectFull: Permutations
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      – TitleFull: Determinantal conditions for homomorphic sensing.
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              Text: Jan2023
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