3 citations · 7 across the 10 of their papers we have counts for
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math.NT2020★ 3 cited
Algebraic Groups Constructed From Rings with Involution
Arseniy Sheydvasser
We define a class of groups constructed from rings equipped with an involution. We show that under suitable conditions, these groups are either algebraic or arithmetic, including a…
math.NT2020
The Twisted Euclidean Algorithm: Applications to Number Theory and Geometry
Arseniy, Sheydvasser
We introduce a generalization of the Euclidean algorithm for rings equipped with an involution, and completely enumerate all isomorphism classes of orders over definite, rational q…