Адекватні властивості елементів у абелевих і дуо-кільцях
It is proved that if R is a duo-ring in which zero is a right adequate element, then R is an exchange ring. A new description of right adequate rings is also obtained, which generalizes the known results on commutative rings. Cite as: A. A. Dmytruk, "Adequate properties of elements in Abelian a...
Збережено в:
| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2019
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| Теми: | |
| Онлайн доступ: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2019.17.47-50 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
Репозитарії
Prykladni Problemy Mekhaniky i Matematyky| Резюме: | It is proved that if R is a duo-ring in which zero is a right adequate element, then R is an exchange ring. A new description of right adequate rings is also obtained, which generalizes the known results on commutative rings. Cite as: A. A. Dmytruk, "Adequate properties of elements in Abelian and duo-rings," Prykl. Probl. Mekh. Mat., Issue 17, 47–50 (2019) (in Ukrainian), https://doi.org/10.15407/apmm2019.17.47-50 |
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