Generating solutions of a linear equation and structure of elements of the Zelisko group
Rings and Algebras
2021-04-26 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.2104.11439,
title = {Generating solutions of a linear equation and structure of elements of the Zelisko group},
author = {V. A. Bovdi and V. P. Shchedryk},
journal= {arXiv preprint arXiv:2104.11439},
year = {2021}
}
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10 pages