WEAK IDEMPOTENT NIL-CLEAN RING | ||
Journal of Algebraic Systems | ||
مقاله 6، دوره 13، شماره 2، مهر 2025، صفحه 95-107 اصل مقاله (153.86 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2023.13177.1725 | ||
نویسندگان | ||
Biadiglign Asmare1؛ Tilahun Abebaw1؛ Kolluru Venkateswarlu* 2 | ||
1Department of Mathematics, College of Natural and Computational Science, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia. | ||
2Department of Computer Science and System Engineering, College of Engineering, Andhra University, Visakhapatnam, Andhra Pradesh, India. | ||
چکیده | ||
We introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical. Further, we obtain any weak idempotent nil-clean ring is a direct product nil clean rings in terms of Jacobson radicals . | ||
کلیدواژهها | ||
weakly nil clean rings؛ clean rings؛ weak idempotent nil clean rings | ||
مراجع | ||
4. P. V. Danchev and W. W. McGovern, Commutative weakly nil clean unital rings, J. Algebra, 425 (2015), 410–422.
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https://doi.org/10.48550/arXiv.1707.03861
9(e8812) (2022), 2333–9721. | ||
آمار تعداد مشاهده مقاله: 295 تعداد دریافت فایل اصل مقاله: 270 |