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On pseudo $2$-prime hyperideals | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 آبان 1405 اصل مقاله (169.01 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.32696.1904 | ||
| نویسندگان | ||
| P. Ghiasvand* 1؛ F. Farzalipour2؛ K. Ghadimi3 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 2Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 3Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| چکیده | ||
| Let $R$ be a multiplicative hyperring. In this paper, we introduce and investigate the notion of pseudo 2-prime hyperideals. Several fundamental properties of pseudo 2-prime hyperideals in multiplicative hyperrings are established. In particular, we examine the relationships between pseudo 2-prime hyperideals and other important classes of hyperideals, including prime hyperideals, 2-prime hyperideals, quasi-primary hyperideals, and 2-absorbing primary hyperideals. Moreover, we prove that a hyperideal $J$ is pseudo 2-prime if and only if $J/\gamma^{*}$ is a pseudo 2-prime ideal of $R/\gamma^{*}$. Finally, we establish a Pseudo 2-Prime Avoidance Theorem for a pseudo 2-prime hyperideal of $R$. | ||
| کلیدواژه‌ها | ||
| 2-prime hyperideal؛ Pseudo 2-prime hyperideal؛ Multiplicative hyperring | ||
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آمار تعداد مشاهده مقاله: 3 تعداد دریافت فایل اصل مقاله: 5 |
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