پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شماره‌ها | 757 |
| تعداد مقالات | 7,162 |
| تعداد مشاهده مقاله | 10,347,667 |
| تعداد دریافت فایل اصل مقاله | 6,937,323 |
Strongly weak idempotent nil -clean rings | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 آذر 1403 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.25294.1570 | ||
| نویسندگان | ||
| K. Venkateswarlu* 1؛ B. Asmare2؛ T. Abebaw3 | ||
| 1Department of Computer Science and Systems Engineering, College of Engineering, Andhra University, Visakhapatnam, Andhra Pradesh, India | ||
| 2Department of Mathematics, Addis Ababa University, Addis Ababa | ||
| 3Department of Mathematics , Addis Ababa University | ||
| چکیده | ||
| We introduce the concept of strongly weak idempotent nil-clean rings which is a generalization of strongly weakly nil clean rings. We characterize strongly weak idempotent nil-clean rings in terms of the set of nilpotent elements, homomorphic images, and Jacobson radicals. We prove that a ring $R$ is strongly weak idempotent nil-clean if and only if for any $a\in R$, $a-a^3$ is nilpotent if and only if $Nil(R)$ forms an ideal and $R/{Nil(R)}$ is reduced weak idempotent nil-clean if and only if $R$ has no homomorphic image $\mathbb{Z}_3\oplus \mathbb{Z}_3$ and $a^2-a^4$ is nilpotent. Moreover, we prove that a strongly weak idempotent nil-clean ring $R$ with $2\in J(R)$ satisfies nil-involution property. | ||
| کلیدواژه‌ها | ||
| Strongly weakly nil clean rings؛ Strongly weak idempotent nil-clean rings؛ Strongly $\pi$-regular rings؛ Strongly clean rings؛ nil-involution | ||
|
آمار تعداد مشاهده مقاله: 39 |
||