Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 3 Sayı: 4, 218 - 224, 22.12.2020
https://doi.org/10.33434/cams.746503

Öz

Kaynakça

  • [1] V. Chinnadurai, K. Bharathivelan, Cubic bi-ideals in near-rings, International Journal of computer and Mathematical Sciences, Vol. 5, Issue 2(2016) 44 - 52
  • [2] V. Chinnadurai, K. Bharathivelan, Cubic Lateral Ideals in Ternary Near - Rings, International Advanced Research Journal in Science, Engineering and Technology, Vol. 3, Issue11(November 2016) 209 - 215
  • [3] J.S.Golan, Semirings and their applications, Kluwer Academic Publishers,1999.
  • [4] M. Henriksen, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
  • [5] K.Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., Vol.11 No. 2(1959), 409-421
  • [6] Y.B. Jun, M.A.Ozt¨ urk, S.Z.Song,¨ On Fuzzy h-ideals in hemiring, Information sciences, 162(2004), 211-226.
  • [7] Y.B. Jun, S.T. Jung and M.S. Kim, Cubic subgroups, Annals of Fuzzy Mathematics and Informatics, 2(2011), 9 - 15.
  • [8] Y.B. Jun, C.S. Kim and K.O. Yang, Cubic sets, Annals of Fuzzy Mathematics and Informatics, 4(2012), 83 - 98.
  • [9] A. Khan, Y.B. Jun, S.I.A. Shah, M. Ali, Characterizations of hemirings in terms of cubic h-ideals, Soft Comput, DOI 10.1007/s00500-014-1396-4
  • [10] D.R.La Torre, On h-ideals and k-ideals in hemirings,Publ. Math. Debrecen 12(1965), 219-226.
  • [11] X.Ma, J.Zahn, Fuzzy h-ideals in h-hemiregular and h-semisimple Γ-hemirings, Neural Comput and Applic, 19(2010), 477-485
  • [12] D. Mandal, On Cubic h-ideals ofΓ-hemiring, Bull. Int. Math. Virtual Inst., Vol. 10, No.3, (2020), 567-579.
  • [13] S. K. Sardar, D. Mandal, On fuzzy h-ideals in h-regular Γ-hemiring and h-duo Γ-hemiring, Gen. Math. Notes, Vol. 2 No. 1,(2011), 64-85
  • [14] S.K.Sardar, D.Mandal, On fuzzy h-ideal in Γ-hemiring, Int. J. Pure. Appl. Math, Vol. 56, No. 3(2009),439-450
  • [15] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35(1971), 512-517
  • [16] L.A.Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338-353.

Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals

Yıl 2020, Cilt: 3 Sayı: 4, 218 - 224, 22.12.2020
https://doi.org/10.33434/cams.746503

Öz

The aim of this paper is to study $h$-hemiregular and $h$-intra-hemiregular $\Gamma$-hemiring using the combined concept of cubic set and \textit{h}-ideals.We have defined two types of compositions of cubic sets and used these to obtain some characterizations of $h$-hemiregular and $h$-intra-hemiregular $\Gamma$-hemiring.

Kaynakça

  • [1] V. Chinnadurai, K. Bharathivelan, Cubic bi-ideals in near-rings, International Journal of computer and Mathematical Sciences, Vol. 5, Issue 2(2016) 44 - 52
  • [2] V. Chinnadurai, K. Bharathivelan, Cubic Lateral Ideals in Ternary Near - Rings, International Advanced Research Journal in Science, Engineering and Technology, Vol. 3, Issue11(November 2016) 209 - 215
  • [3] J.S.Golan, Semirings and their applications, Kluwer Academic Publishers,1999.
  • [4] M. Henriksen, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
  • [5] K.Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., Vol.11 No. 2(1959), 409-421
  • [6] Y.B. Jun, M.A.Ozt¨ urk, S.Z.Song,¨ On Fuzzy h-ideals in hemiring, Information sciences, 162(2004), 211-226.
  • [7] Y.B. Jun, S.T. Jung and M.S. Kim, Cubic subgroups, Annals of Fuzzy Mathematics and Informatics, 2(2011), 9 - 15.
  • [8] Y.B. Jun, C.S. Kim and K.O. Yang, Cubic sets, Annals of Fuzzy Mathematics and Informatics, 4(2012), 83 - 98.
  • [9] A. Khan, Y.B. Jun, S.I.A. Shah, M. Ali, Characterizations of hemirings in terms of cubic h-ideals, Soft Comput, DOI 10.1007/s00500-014-1396-4
  • [10] D.R.La Torre, On h-ideals and k-ideals in hemirings,Publ. Math. Debrecen 12(1965), 219-226.
  • [11] X.Ma, J.Zahn, Fuzzy h-ideals in h-hemiregular and h-semisimple Γ-hemirings, Neural Comput and Applic, 19(2010), 477-485
  • [12] D. Mandal, On Cubic h-ideals ofΓ-hemiring, Bull. Int. Math. Virtual Inst., Vol. 10, No.3, (2020), 567-579.
  • [13] S. K. Sardar, D. Mandal, On fuzzy h-ideals in h-regular Γ-hemiring and h-duo Γ-hemiring, Gen. Math. Notes, Vol. 2 No. 1,(2011), 64-85
  • [14] S.K.Sardar, D.Mandal, On fuzzy h-ideal in Γ-hemiring, Int. J. Pure. Appl. Math, Vol. 56, No. 3(2009),439-450
  • [15] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35(1971), 512-517
  • [16] L.A.Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338-353.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Debabrata Mandal

Yayımlanma Tarihi 22 Aralık 2020
Gönderilme Tarihi 1 Haziran 2020
Kabul Tarihi 17 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 4

Kaynak Göster

APA Mandal, D. (2020). Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals. Communications in Advanced Mathematical Sciences, 3(4), 218-224. https://doi.org/10.33434/cams.746503
AMA Mandal D. Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals. Communications in Advanced Mathematical Sciences. Aralık 2020;3(4):218-224. doi:10.33434/cams.746503
Chicago Mandal, Debabrata. “Some Characterizations of $h$-Regular $\Gamma$-Hemiring in Terms of Cubic $h$-Ideals”. Communications in Advanced Mathematical Sciences 3, sy. 4 (Aralık 2020): 218-24. https://doi.org/10.33434/cams.746503.
EndNote Mandal D (01 Aralık 2020) Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals. Communications in Advanced Mathematical Sciences 3 4 218–224.
IEEE D. Mandal, “Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals”, Communications in Advanced Mathematical Sciences, c. 3, sy. 4, ss. 218–224, 2020, doi: 10.33434/cams.746503.
ISNAD Mandal, Debabrata. “Some Characterizations of $h$-Regular $\Gamma$-Hemiring in Terms of Cubic $h$-Ideals”. Communications in Advanced Mathematical Sciences 3/4 (Aralık 2020), 218-224. https://doi.org/10.33434/cams.746503.
JAMA Mandal D. Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals. Communications in Advanced Mathematical Sciences. 2020;3:218–224.
MLA Mandal, Debabrata. “Some Characterizations of $h$-Regular $\Gamma$-Hemiring in Terms of Cubic $h$-Ideals”. Communications in Advanced Mathematical Sciences, c. 3, sy. 4, 2020, ss. 218-24, doi:10.33434/cams.746503.
Vancouver Mandal D. Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals. Communications in Advanced Mathematical Sciences. 2020;3(4):218-24.

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