# Rings almost clean range 1

- Written by B. Zabavsky
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Professor

Department of Algebra and Logic

Faculty of Mechanics and Mathematics

Ivan Franko National University of L'viv

**Abstract:**

We introduce the notion a ring of a clean range 1 and a ring almost clean range 1.

**Theоrem 1**. *Commutative ring of stable range 1 is a ring of clean range 1*

There is an example of a rings of clean range 1, which is not a rings of stable range 1

**Theоrem 2**.* Commutative Bezout ring of stable range 2 is an elementary divisors ring iff it is a ring almost clean range 1*

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