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Bibliographic Details
Main Authors: Kutzschebauch, Frank, Son, Tran Nam, Vin, Pham Duy
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.17570
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Table of Contents:
  • We explore the injectivity of the evaluation map eva f,A from Am A to A, where A is an associative algebra over a field F, and f is a polynomial in m \ge 1 variables with coefficients in F. Our investigation reveals that injectivity is possible only when m equal 1 and f has degree one; for functions in two or more variables, such injectivity is impossible.