arXiv subjects
Publications and source records attributed to 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 stable rank 1.5 is described.
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 linear equation contains at least one solution that divides the rest, which is called a generating solution. Generating solutions are pairwise associates. Using this result, the structure of elements of the Zelisko group is investigated.