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Patil, Jitendrasing Jaysing, Fakira Pawar, Kishor. (1398). On quasi-ideals of Γ-semihyperrings. سامانه مدیریت نشریات علمی, 8(2), 123-134. doi: 10.22098/jhs.2019.2619
Jitendrasing Jaysing Patil; Kishor Fakira Pawar. "On quasi-ideals of Γ-semihyperrings". سامانه مدیریت نشریات علمی, 8, 2, 1398, 123-134. doi: 10.22098/jhs.2019.2619
Patil, Jitendrasing Jaysing, Fakira Pawar, Kishor. (1398). 'On quasi-ideals of Γ-semihyperrings', سامانه مدیریت نشریات علمی, 8(2), pp. 123-134. doi: 10.22098/jhs.2019.2619
Patil, Jitendrasing Jaysing, Fakira Pawar, Kishor. On quasi-ideals of Γ-semihyperrings. سامانه مدیریت نشریات علمی, 1398; 8(2): 123-134. doi: 10.22098/jhs.2019.2619

On quasi-ideals of Γ-semihyperrings

Journal of Hyperstructures
دوره 8، شماره 2، اسفند 2019، صفحه 123-134    اصل مقاله (97.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2019.2619
نویسندگان
Jitendrasing Jaysing Patil* 1؛ Kishor Fakira Pawar2
1Department of Mathematics, Indraraj Arts, Commerce and Science college, Sillod, Dr. Babashasheb Ambedkar Marathwada University Aurangabad- 431 112, India.
2Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., India
چکیده
The concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can find a quasi-ideal of R generated by X, where X is any non empty subset of R. Also the notion of quasi-simple Γ-semihyperring is introduced and proved some properties in this respect.
کلیدواژه‌ها
Quasi-ideal؛ Minimal quasi-ideal؛ Quasi-simple؛ Γ-semihyperring
مراجع
[1] F. Marty, Sur une generalization de la notion de groupe, 8-eme Congress Math.Scandinaves, Stockholm, (1934), 45-49.
[2] K. Iseki, Quasi-ideals in Semirings without Zero, Proc. Japan Acad., 34 (1958),79-84.
[3] K. Pawar, J. Patil and B. Davvaz, On a regular Γ- semihyperring and idempotent Γ- semihyperring, Kyungpook Math. J.,59 (2019), 35-45.
[4] O. Steinfeld,On ideals quotients and prime ideals, Acta. Math. Acad. Sci. Uuge.4 (1953), 289-298.
[5] O. Steinfeld,Uber die Quasiideale von Halbgruppen,Publ. Math. Debrecen, 4 (1956), 262-275.
[6] R. Chinram,On Quasi-Gamma-ideals in Γ-Semigroups, Science Asia, 32 (2006),351-353.
[7] R. Jagatap and Y. Pawar, Quasi ideals and minimal quasi ideals in Γ- semirings,Novi Sad J.Math.Serbia, 39(2) (2009),79-87.
[8] S. Ostadhadi-Dehkordi and B. Davvaz, Ideal theory in Γ- semihyperrings, Iran. J. Sci. Technol. A. , 37(3) (2013), 251-263.

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