4 papers
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…