44 citations · 253 across the 45 of their papers we have counts for
48 papers
On endomorphisms of affine spaces and the Jacobian problem
Alexander Borisov, Ofer Gabber, Adrian Vasiu
Let be a prime. We provide examples which show that étale endomorphisms of affine planes over an algebraically closed field of characteristic can have fibers of arbitra…
On lifting representations and actions on curves of the metacyclic groups
Huy Dang, Adrian Vasiu
For a prime , a pair with relatively prime to , a homomorphism , and an algebraically closed field …
Infinite transitivity of tame groups of automorphisms of affine spaces
Alexander Borisov, Ofer Gabber, Adrian Vasiu
For positive integers and , we study the actions of the groups of tame automorphisms of the -dimensional affine spaces over finite fields on ordered subsets of points…
On the factorizations of integers via division algorithms for polynomials
Guram Donadze, Adrian Vasiu
We introduce and study several conditions related to the factorization problem of composite numbers. For this purpose, we employ cyclotomic polynomials, Sylvester resultants, and t…
Matrix invertible extensions over commutative rings. Part III: Hermite rings
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu
We reobtain and often refine prior criteria due to Kaplansky, McGovern, Roitman, Shchedryk, Wiegand, and Zabavsky--Bilavska and obtain new criteria for a Hermite ring to be an \tex…
Matrix invertible extensions over commutative rings. Part II: determinant liftability
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu
A unimodular matrix with entries in a commutative ring is called weakly determinant liftable if there exists a matrix congruent to modulo and…