"I liked the algebraic way of looking at things.
I’m additionally fascinated when the algebraic method is applied to infinite objects”.

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On properties of elements of Bezout domains stable range 1,5 and matrices over them



Volodymyr Shchedryk

Department of Algebra
Pidstryhach Institute for Applied Problems
of Mechanics and Mathematics
National Academy of Sciences of Ukraine




A ring R has the stable rank of 1.5 if for every triple left relatively prime nonzero elements a, b, c in R there is r, suchthat the elements a+br, c are left relatively prime.

We will investigate the properties of elements of commutative Bezout domain stable range 1.5 and the matrix properties over them. In particular, complementability of unimodular row to invertible matrix. We specify a simplest matrix form by one sided equivalence.


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