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Solutions of a linear equation b=ax in a homomorphic image of a commutativeBezout domain of stable range 1.5 is developed. It is proved that the set ofsolutions of a solvable linear equation contains at least one solution thatdivides the rest, which is called a generating solution. Generating solutionsare pairwise associates. Using this result, the structure of elements of theZelisko group is investigated.

Generating solutions of a linear equation and structure of elements of the Zelisko group