A Bezout ring of stable range 2 which has square stable range 1

DOI10.1080/00927872.2019.1623239zbMath1469.16059arXiv1812.08819OpenAlexW2963930019MaRDI QIDQ5238177

O. M. Romaniv, B. V. Zabavs'kyj

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08819

zbMATH Keywords

Toeplitz matrixBezout ringHermitian ringduo ringelementary divisor ringneat range 1stable range 1quasi-duo ringstable range 2square stable range 1

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Unnamed Item
• Rings of square stable range one
• Power-cancellation of groups and modules
• Distributive elementary divisor domains
• Lifting Idempotents and Exchange Rings

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