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arXiv · 2301.12655

Endomorphisms of a certain ring of rational functions

Milo Moses
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Abstract

We define a ring whose elements are rational functions, whose addition is polynomial multiplication, and whose multiplication is a convolution operation. It is then show that this ring's endomorphisms exhibit a strong classification. Namely, they will all fall in a well structured family, or they will degenerate. This degeneration is classified strongly in terms of roots of unity.

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Milo Moses. 2023-01-30. Endomorphisms of a certain ring of rational functions. https://arxiv.org/abs/2301.12655

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