Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Kutzschebauch, Frank, Son, Tran Nam, Vin, Pham Duy
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7077973688
Cites:
Cited by:
Related to: