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Dedekind N-group and uniform N-group in near-rings | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 1، مهر 2025، صفحه 61-72 اصل مقاله (166.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.24773.1541 | ||
| نویسندگان | ||
| T. Roodbarylor* 1؛ M. Sadeghi2 | ||
| 1Department of mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran | ||
| 2Department of Mathematics, University of Nobonyad, Sirjan, Iran | ||
| چکیده | ||
| In this paper the authors have defined Dedekind $N$-groups, prime $N$-groups, uniform $N$-groups in near rings and have found the relationship between them. For example they have showed the notions uniform $N$-group and Dedekind $N$-group in near rings are equivalent. | ||
| کلیدواژه‌ها | ||
| Dedekind N-group؛ Prime N-group؛ Uniform N-group | ||
| مراجع | ||
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[1] E. Khodadadpour and T. Roodbarylor,Valuation near rings, Journal of algebra and related topics, (2) 9 (2021), 95–100. [2] M. Khoramdel and S. Dolati Pish Hesari, Some notes on dedekind modules, Hacettepe Journal of Mathematics and Statistics, 5 (2011), 627–634. [3] G. Pilz, Near-Rings, North Holland, Amsterdam, (1983). [4] M. G. Rinaldi, On the near rings whose proper ideas are prime, San Benedetto del toronto, (1981), 197–200. [5] M. Sadeghi gougheri and T. Roodbarylor, The construction of fraction N-subgroups in near rings, Italean Journal of pure and applied mathematics, 46 (2021), 272-282. [6] S. Yamamuro, A note on near rings of mapping, J. Austral. Math. soc., 16 (1973). | ||
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