Ilan Levin

activity

20232026

most citedAlternating Roots of Polynomials over Cayley-Dickson Algebras

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2025Show all

2 papers · 1 filter

math.RA2025

Cyclic Division Algebras of Odd Prime Degree are never Amitsur-Small

Adam Chapman, Ilan Levin, Marco Zaninelli

A division ring $D$ is Amitsur-Small if for every $n$ and every maximal left ideal $I$ in $D [x_{1}, \dots, x_{n}]$ , $I \cap D [x_{1}, \dots, x_{n - 1}]$ is maximal in $D [x_{1}, \dots, x_{n - 1}]$ . Th…

math.GR2025

How Associative Can a Non-Associative Moufang Loop Be?

Ilan Levin

We prove a non-associative analog to the well-known $\frac{5}{8}$ Theorem. Namely, for a finite Moufang loop with nuclear commutators, we show that if the probability that three ra…