Rings of simple range 2

2024/07/03 by Bohdan Zabavsky, Zabavsky, Bohdan, Oleh Romaniv +3
Mathematics · #06F20 #13E15 #13F99 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2407.03196

openalex publication_date 2024/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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