2021

A generating solution of a linear equation and structure of elements of the Zelisko group

Speakers

 Volodymyr
Shchedryk 

Department of Algebra,
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine

Victor
Bovdi 

United Arab Emirates University,
Al Ain, UAE

When & where:

February 23, 2021 at 1500,

online Zoom

Join Zoom Meeting:

https://us04web.zoom.us/j/739….
Meeting ID: 739 806 9872
Passcode: AUpYx5

Abstract of talk

Solutions of a linear equation a= bx 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.

Volodymyr Shchedryk
Victor Bovdi

February 23, 2021