|
RESEARCH ARTICLE
On a common generalization of symmetric rings and quasi duo rings
T. Subedi, D. Roy Department of Mathematics, National Institute of Technology Meghalaya, India
Аннотация:
Let $J(R)$ denote the Jacobson radical of a ring $R$. We call a ring $R$ as $J$-symmetric if for any $a,b, c\in R$, $abc=0$ implies $bac\in J(R)$. It turns out that $J$-symmetric rings are a common generalization of left (right) quasi-duo rings and generalized weakly symmetric rings. Various properties of these rings are established and some results on exchange rings and the regularity of left $\mathrm{SF}$-rings are generalized.
Ключевые слова:
symmetric ring, Jacobson radical, $J$-symmetric ring.
Поступила в редакцию: 24.06.2017
Образец цитирования:
T. Subedi, D. Roy, “On a common generalization of symmetric rings and quasi duo rings”, Algebra Discrete Math., 29:2 (2020), 249–258
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm756 https://www.mathnet.ru/rus/adm/v29/i2/p249
|
Статистика просмотров: |
Страница аннотации: | 71 | PDF полного текста: | 103 | Список литературы: | 13 |
|