Rings of simple range 2

Bohdan Zabavsky; Oleh Romaniv; Andrij Sagan

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arXiv · 2407.03196

Rings of simple range 2

Bohdan Zabavsky·Oleh Romaniv·Andrij Sagan

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Abstract

We introduce the concept of rings of simple range 2. Based on this concept, we build a theory diagonal reduction of matrices over Bezout domain. In particular we show that invariant Bezout domain is an elementary divisor ring if and only if it is a rings of simple range 2.

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Bohdan Zabavsky, Oleh Romaniv, Andrij Sagan. 2024-07-03. Rings of simple range 2. https://arxiv.org/abs/2407.03196

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