Primitive hyperideals and hyperstructure spaces of hyperrings | ||
| Categories and General Algebraic Structures with Applications | ||
| دوره 22، شماره 1، فروردین 2025، صفحه 157-173 اصل مقاله (501.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.48308/cgasa.2023.234185.1460 | ||
| نویسندگان | ||
| Karin-Therese Howell1؛ Amartya Goswami* 2؛ Bijan Davvaz3 | ||
| 1Department of Mathematical Sciences, Stellenbosch University, Stellenbosch 7600, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa. | ||
| 2Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa. | ||
| 3Department of Mathematical Sciences, Yazd University, Yazd, Iran. | ||
| چکیده | ||
| We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties of the corresponding hyperstructure space. | ||
| کلیدواژهها | ||
| Hyperring؛ hypermodule؛ primitive hyperideal؛ Jacobson topology؛ generic point؛ Noetherian space | ||
| مراجع | ||
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