| تعداد نشریات | 26 |
| تعداد شمارهها | 384 |
| تعداد مقالات | 3,363 |
| تعداد مشاهده مقاله | 5,126,432 |
| تعداد دریافت فایل اصل مقاله | 3,498,085 |
On primary hyperideals of ternary hypersemiring | ||
| Journal of Hyperstructures | ||
| دوره 10، شماره 1، شهریور 2021، صفحه 22-37 اصل مقاله (309.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2021.2638 | ||
| نویسندگان | ||
| Nita Tamang* 1؛ Manasi Mandal2؛ Sampad Das2 | ||
| 1Department of Mathematics, University of North Bengal, Rajarammohunpur, Dist.Darjeeling 734013, India | ||
| 2Department of Mathematics,Jadavpur University, Kolkata 700032, India. | ||
| چکیده | ||
| In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring. We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We also generalize the concept of prime and primary avoidance theorem in ternary hypersemirings for C-ternary hyperideals. | ||
| کلیدواژهها | ||
| Ternary hypersemiring؛ Primary hyperideals؛ Prime hyperideals؛ C-ternary hyperideals | ||
| مراجع | ||
|
[1] Ameri, R., Kordi, A., Sarka-Mayerova, S.: Multiplicative hyperring of fractions and coprime hyperideals, An. Stiint. Univ. Ovidius Constanta Ser. Mat., 25(1): 2017, 5-23. DOI: 10.1515/auom-2017-0001. [2] Bordbar, H., Cristea, I. : Height of prime hyperideals in Krasner hyperrings, Filomat, 31(19): 6153{6163. DOI:10.2298/FIL1719153B. [3] Bordbar, H., Cristea, I., Novak, M.: Height of Hyperideals in Noetherian Krasner Hyperrings, University Politehnica of Bucharest Scienti c Bulletin-Series A Applied Mathematics and Physics, 79(2): 31-42, 2017. [4] Davvaz, B., Leoreanu, V.: Binary relations on ternary semihypergroups, Communications in Algebra, 38(10): 3621-3636 (2010). [5] Dutta, T.K., Kar, S.: On regular ternary semirings, Advances in Algebra, Proceedings of the ICM Satellite conference in Algebra and Related Topics, World Scienti c, New Jersey, 343-355 (2003). [6] Dutta, T.K., Kar, S.: On Prime Ideals And Prime Radical Of Ternary Semirings, Bull. Cal. Math. Soc., 97(5): 445-454 (2005). [7] Golan, J. S.: Semiring and their Applications, Kluwer Academic Publishers, Netherlands (1999). [8] Lister, W.G.: Ternary rings, Trans. Amer. Math. Soc., 154: 37-55 (1971). [9] Lehmer, D.H.: A Ternary Analogue of Abelian Group, American Journal of Math- ematics, 59: 329-338 (1932). [10] Marty, F.: Sur une generalization de la notion de group, 8th Congres des Math. Scandinaves, Stockholm, 45-59 (1934). [11] Procesi, R. and Rota, R.: On some classes of hyperstructures, Discrete Math., 208/209: 485-497 (1999). [12] Rota, R.: Strongly distributive multiplicative hyperrings, J of Geom., 39: 130-138 (2003). [13] Salim, Md., Dutta, T.K., Shum, K.P.: Regular multiplicative Ternary Hyperring, Italian Journal of Pure and Applied Mathematics, 37: 77-88 (2017). [14] Sevim, E.S., Ersoy, B.A., Davvaz, B.: Primary hyperideals of multiplicative hyperrings, Eurasian Bulletin of Mathematics, 1(1): 43-49 (2018). [15] Sultana, M., Sardar, S.K., Sircar, J.: Prime radical and radical ideal in ternary semiring, International Journal of Pure and Applied Mathematics, 108(3): 523-531 (2016). [16] Tamang, N. and Mandal, M.: Hyperideals of a Ternary Hypersemiring, Bull. Cal. Math. Soc., 110(5): 385-398 (2018). | ||
|
آمار تعداد مشاهده مقاله: 72 تعداد دریافت فایل اصل مقاله: 120 |
||
