16 citations · 18 across the 4 of their papers we have counts for
5 papers
Arithmetic of matrices over rings
Volodymyr Shchedryk
The book is devoted to investigation of arithmetic of the matrix rings over certain classes of commutative finitely generated principal ideals domains. We mainly concentrate on con…
Generating solutions of a linear equation and structure of elements of the Zelisko group II
V. A. Bovdi, V. P. Shchedryk
We continue our previous investigation of the Zelisko group of a matrix over Bézout domains. The explicit form of elements of this group over homomorphic image of Bézout domain of…
Generating solutions of a linear equation and structure of elements of the Zelisko group
V. A. Bovdi, V. P. Shchedryk
Solutions of a linear equation b=ax in a homomorphic image of a commutative Bezout domain of stable range 1.5 is developed. It is proved that the set of solutions of a solvable lin…
A greatest common divisor and a least common multiple of solutions of a linear matrix equation
Volodymyr P. Shchedryk
We describe the explicit form of a left greatest common divisor and a least common multiple of solutions of a solvable linear matrix equation over a commutative elementary divisor…
Commutative Bezout domains of stable range 1.5
Victor A. Bovdi, Volodymyr P. Shchedryk
A ring R is said to be of stable range 1.5 if for each a, b from R and nonzero c from R satisfying aR + bR + cR = R there exists r from R such that (a + br)R + cR = R. Let R be a c…