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On generalized AIP-rings | ||
| Iranian Journal of Science | ||
| مقاله 6، دوره 38، شماره 3.1، دی 2014، صفحه 337-342 اصل مقاله (202.45 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2431 | ||
| نویسندگان | ||
| M. Anzani؛ H. Haj Seyyed Javadi* | ||
| Department of Mathematics and Computer Science, Shahed University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we introduce the concept of the generalized AIP-rings as a generalization of the generalized quasi- Baer rings and generalized p.p.-rings. We show that the class of the generalized AIP-rings is closed under direct products and Morita invariance. We also characterize the 2-by-2 formal upper triangular matrix rings of this new class of rings. Finally, we provide several examples to show the applicability and limitation of this class of rings. | ||
| کلیدواژهها | ||
| Baer rings؛ quasi-Baer rings؛ p.p.-rings؛ annihilators؛ idempotent؛ s-unital ideal | ||
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