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Nil Armendariz rings of Hurwitz series type 1 | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 16، شماره 9، آذر 2025، صفحه 87-93 اصل مقاله (344.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35416.5275 | ||
| نویسندگان | ||
| Kianoosh Sabzipour1؛ Hamid Haj Seyyed Javadi* 2 | ||
| 1Department of Pure Mathematics, Tarbiat Modares University, Tehran, Iran | ||
| 2Department of Mathematics and Computer Science, Shahed University, Tehran, Iran | ||
| تاریخ دریافت: 02 مرداد 1403، تاریخ پذیرش: 06 مهر 1403 | ||
| چکیده | ||
| In this paper, we study the structure of the set of nilpotent elements in Armendariz rings of Hurwitz series type and introduce nil Armendariz as a generalization. It is proved that a ring $R$ is nil Armendariz of Hurwitz series type if and only if $R$ has characteristic zero and $Nil(R)$ is an ideal. We provide many examples of nil Armendariz rings of Hurwitz series type and extend the class of nil Armendariz rings of Hurwitz series type through various ring extensions. | ||
| کلیدواژهها | ||
| nil Armendariz ring؛ nil Armendariz ring of Hurwitz series type؛ nil Armendariz ring of skew Hurwitz series type | ||
| مراجع | ||
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