#### 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 15 ^{00}**,

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 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