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

Irwing Kaplansky

Bezout rings of stable range 1.5

 

Volodymyr Shchedryk

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

 

 

Abstract:

A Bezout ring R has the stable rank of 1.5 if for every triple left relatively prime nonzero elements a, b, c on R there is r, such that the elements a+br,c are left relatively prime. We prove that the M2(R) has stable rank 1.5 if and only if the ring R has stable rank 1.5

 

 

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