پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 306 |
| تعداد مقالات | 2,643 |
| تعداد مشاهده مقاله | 3,969,532 |
| تعداد دریافت فایل اصل مقاله | 2,673,842 |
On certain Γ-hyperideals in Γ-semihypergroups | ||
| Journal of Hyperstructures | ||
| دوره 9، شماره 2، اسفند 2020، صفحه 34-51 اصل مقاله (288.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2020.2630 | ||
| نویسندگان | ||
| Ansari Safoora Samreen Jamal Abdul Nasir* 1؛ Kishor Fakira Pawar2 | ||
| 1Department of Mathematics, S.N.J.B.’s K.K.H.A. Arts, S.M.G.L. Commerce & S.P.H.J. Science College, Chandwad, District Nashik, 423 101, M.S., India | ||
| 2Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., India | ||
| چکیده | ||
| In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved that the class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity, left (right) pseudo commutative Γ-semihypergroups and idempotent Γ-semihypergroups. The notions of completely prime Γhyperideal, semiprime Γ-hyperideal, partially semiprime Γ- hyperideal are also defined and completely prime Γ-hyperideal of a Γsemihypergroup has been characterized in terms of prime Γ- hyperideal and pseudo symmetric Γ-hyperideal. The characterization of completely semiprime Γ-hyperideals of Γ-semihypergroups is presented. In Γ-semihypergroup n-semiprime Γ-hyperideal and npartially semiprime Γ-hyperideal are introduced as a generalization of semiprime Γ-hyperideal and partially semiprime Γ-hyperideal of Γ-semihypergroup respectively. The notion of semi-extension of Γhyperideal in Γ-semihypergroup has also been defined. Some related results are proved along with establishing the relationship between n-semiprime Γ-hyperideals and semi-extension of Γ-hyperideal in commutative Γ-semihypergroups. | ||
| کلیدواژه‌ها | ||
| Γ-semihypergroup؛ Γ-hyperideal؛ Pseudo Symmetric Γ-hyperideal؛ Completely Prime Γ-hyperideal؛ n-semiprime Γ-htperideal | ||
| مراجع | ||
|
[1] A. Anjaneyulu, and D. Ramakotaiah, \On a Class of Semigroups", Simon stevin Vol.54 (1980), 241-249. [2] B. Davvaz, \ Semihypergroup Theory ", Academic Press Elsevier (2016). [3] B. Davvaz and V. Leoreanu-Fotea, \ Hyperring Theory and Applications", Florida, USA: International Academic Press (2007). [4] D. Heidari and B. Davvaz, \ Γ-hypergroups and Γ-semihypergroups associated to binary relations ", Iranian Journal of Science & Technology, A2: (2011), 69-80. [5] D. Heidari, S. Ostadhadi DehkordI, B. Davvaz, \ Γ-Semihypergroups And Their Properties ", U.P.B. Sci. Bull., Series A, Vol. 72, Iss. 1 (2010). [6] D. Madhusudhana Rao, A.Anjaneyulu, A.Gangadhara Rao, \ Pseudo Symmetric Γ-Ideals In Γ-Semigroups ", International eJournal of Mathematics and Engineering, 116 (2011), 1074-1081. [7] F. Marty, \ Sur une generalization de la notion de groupe ", 8th congress Math. Scandinaves, Stockholm, (1934), 45-49. [8] K. Hila, B. Davvaz, J. Dine, \ Study on the Structure of Γ-Semihypergroups ", Communication in Algebra, 40 (2012), 2932-2948. [9] K. F. Pawar, J. J. Patil, B. Davvaz, \On Regular -semihypergrrings and idempotent Γ-semihyperrings", KYUNGPOOK Math. J. 59, (2019), 35-45. [10] P. Corsini, \ Prolegomena of Hypergroup Theory ", 2nd ed., Aviani Editore Publisher, Italy (1993). [11] P. Corsini, L. Leoreanu, \ Applications of Hyperstructure Theory ", Advances In Mathematics, Dordrecht: Kluwer Academic Publishers (2003). [12] M. K. Sen and N. K. Saha, \ On Γ-semigroup I ", Bulletin of the Calcutta Mathematical Society, vol. 78, (1986), 180-186. [13] S. M. Anvariyeh, S. Mirvakili and B. Davvaz, \ On Γ-hyperideals in Γ-semihypergroups ", Carpathian J. Math. 26, No. 1 (2010), 11-23. | ||
|
آمار تعداد مشاهده مقاله: 15 تعداد دریافت فایل اصل مقاله: 20 |
||