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On Graded $2$-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 1، شهریور 2023، صفحه 93-109 اصل مقاله (325.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.23135.1453 | ||
| نویسنده | ||
| P. Ghiasvand* | ||
| Department of Mathematics, Payame Noor University(PNU), P.O.BOX 19395-3697 Tehran, Iran. | ||
| چکیده | ||
| Let $G$ be a group with identity $e$ and $R$ be a multiplicative hyperring. We introduce and study the notions of graded $2$-absorbing and graded $2$-absorbing primary hyperideals of a graded multiplicative hyperring $R$ which are generalizations of prime hyperideals. We present basic properties and characterizations of these graded hyperideals and homogeneous components. Among various results we prove that the intersection of two graded prime hyperideals is a graded $2$-absorbing hyperideal. | ||
| کلیدواژه‌ها | ||
| Graded multiplicative hyperring؛ Graded $2$-absorbing hyperideal؛ Graded $2$-absorbing primary hyperideal | ||
| مراجع | ||
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