Rings of simple range 2
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929408550371328 |
|---|---|
| author | Zabavsky, Bohdan Romaniv, Oleh Sagan, Andrij |
| author_facet | Zabavsky, Bohdan Romaniv, Oleh Sagan, Andrij |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rings of simple range 2 Zabavsky, Bohdan Romaniv, Oleh Sagan, Andrij Commutative Algebra Rings and Algebras 06F20, 13F99, 13E15 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. |
| title | Rings of simple range 2 |
| topic | Commutative Algebra Rings and Algebras 06F20, 13F99, 13E15 |
| url | https://arxiv.org/abs/2407.03196 |