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arXiv · 2104.11439

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

V. A. Bovdi·V. P. Shchedryk
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Abstract

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.

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V. A. Bovdi, V. P. Shchedryk. 2021-04-23. Generating solutions of a linear equation and structure of elements of the Zelisko group. https://arxiv.org/abs/2104.11439

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