2-добрі абелеві і дуо-кільця з умовами стабільного рангу
We investigate a duo ring of almost unit stable range 1 as a generalization of a ring of unit stable range 1. We prove that a duo ring of almost unit stable range 1 with nonzero Jacobson radical is a ring of unit stable range 1 and is a 2-good ring. We introduce the notice of almost 2-good ring and...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2458 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | We investigate a duo ring of almost unit stable range 1 as a generalization of a ring of unit stable range 1. We prove that a duo ring of almost unit stable range 1 with nonzero Jacobson radical is a ring of unit stable range 1 and is a 2-good ring. We introduce the notice of almost 2-good ring and show that an adequate right duo domain is almost 2-good ring. Cite as: Bilous A. M., Gatalevych A. I. 2-good abelian and duo rings with conditions of a stable range // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 16–20. [In Ukrainian] |
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