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math.AC2024
On a problem of Amitsur and Small
Elad Paran
We construct an example of a division ring and a maximal left ideal in the polynomial ring in two central variables over , such that the intersection $M \cap D[…
math.CO2024
The Collatz map analogue in polynomial rings and in completions
Angelot Behajaina, Elad Paran
We study an analogue of the Collatz map in the polynomial ring , where is an arbitrary commutative ring. We prove that if is of positive characteristic, then every po…