Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 2 Sayı: 1, 18 - 23, 17.06.2019
https://doi.org/10.33401/fujma.543712

Öz

Kaynakça

  • [1] F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandenaves, Stockholm, (1934), 45–49.
  • [2] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.
  • [3] W. Prenowitz, J. Jantosciak, Join Geometries, Springer-Verlag, UTM., 1979.
  • [4] B. Davvaz, V. Leoreanu-Fotea, Hyperring Theory and Applications, International Academic Press, USA, 2007.
  • [5] B. Davvaz, A. Dehghan Nezhad, Chemical examples in hypergroups, Ratio Mathematica-Numero, 14 (2003), 71–74.
  • [6] B. Davvaz, Some results on congruences in semihypergroups, Bull. Malays. Math. Sci. Soc., 23(2) (2000), 53—58.
  • [7] B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pvt. Ltd., Hackensack, 2013.
  • [8] B. Davvaz, N. S. Poursalavati, Semihypergroups and S-hypersystems, Pure Math. Appl., 11 (2000), 43—49.
  • [9] C. Gutan, Simplifiable Semihypergroups, in: Algebraic Hyperstructures and Applications, Xanthi, World Scientific, 1990.
  • [10] D. Griffiths, Introduction to Elementary Particles, John Wiley & Sons, 1987.
  • [11] D. Heidari, B. Davvaz. On ordered hyperstructures, Politehn. Univ. Bucharest Sci. Bull. Ser., A Appl. Math. Phys., 73(2) (2011), 85—96.
  • [12] F. Halzen, A. Martin, Quarks & Leptons: An Introductory Course in Modern Particle Physics, John Wiley & Sons, 1984.
  • [13] K. Hila, B. Davvaz, K. Naka, On quasi-hyperideals in semihypergroups, Comm. Algebra, 39 (2011), 4183-–4194.
  • [14] P. Corsini, Prolegomena of hypergroup theory, second ed., Aviani Editore, Tricesimo, 1993.
  • [15] P. Corsini, Sur les semi-hypergroupes, Atti Soc. Pelorit. Sci. Fis. Math. Nat., 26(4) (1980), 363—372.
  • [16] S. M. Anvariyeh, S. Mirvakili, B. Davvaz, On G-hyperideals in G-semihypergroups, Carpathian J. Math., 26(1) (2010), 11-23.
  • [17] K. Hila, B. Davvaz, J. Dine, Study on the structure of G-semihypergroups, Commun. Algebra, 40(8) (2012), 2932-2948.
  • [18] A. Basar, M. Y. Abbasi, S. A. Khan, An introduction of theory of involutions and their weakly prime hyperideals, J. Indian Math. Soc., 86(3-4) (2019), 1-11.
  • [19] A. Basar, Application of (m, n)- G -hyperideals in characterization of LA- G -semihypergroups, Discuss. Math. Gen. Algebra Appl., 39(1)(2019), 135-147.
  • [20] A. Basar, A note on (m, n)-G-ideals of ordered LA-G–semigroups, Konuralp J. Math., 7(1) (2019), 107-111.

On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups

Yıl 2019, Cilt: 2 Sayı: 1, 18 - 23, 17.06.2019
https://doi.org/10.33401/fujma.543712

Öz

In this article, we deal with ordered generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. In particular, we study $(m, n)$-regular ordered $\Gamma$-semihypergroups in terms of ordered $(m, n)$-$\Gamma$-hyperideals. Moreover, we obtain some ideal theoretic results in ordered $\Gamma$-semihypergroups.

Kaynakça

  • [1] F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandenaves, Stockholm, (1934), 45–49.
  • [2] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.
  • [3] W. Prenowitz, J. Jantosciak, Join Geometries, Springer-Verlag, UTM., 1979.
  • [4] B. Davvaz, V. Leoreanu-Fotea, Hyperring Theory and Applications, International Academic Press, USA, 2007.
  • [5] B. Davvaz, A. Dehghan Nezhad, Chemical examples in hypergroups, Ratio Mathematica-Numero, 14 (2003), 71–74.
  • [6] B. Davvaz, Some results on congruences in semihypergroups, Bull. Malays. Math. Sci. Soc., 23(2) (2000), 53—58.
  • [7] B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pvt. Ltd., Hackensack, 2013.
  • [8] B. Davvaz, N. S. Poursalavati, Semihypergroups and S-hypersystems, Pure Math. Appl., 11 (2000), 43—49.
  • [9] C. Gutan, Simplifiable Semihypergroups, in: Algebraic Hyperstructures and Applications, Xanthi, World Scientific, 1990.
  • [10] D. Griffiths, Introduction to Elementary Particles, John Wiley & Sons, 1987.
  • [11] D. Heidari, B. Davvaz. On ordered hyperstructures, Politehn. Univ. Bucharest Sci. Bull. Ser., A Appl. Math. Phys., 73(2) (2011), 85—96.
  • [12] F. Halzen, A. Martin, Quarks & Leptons: An Introductory Course in Modern Particle Physics, John Wiley & Sons, 1984.
  • [13] K. Hila, B. Davvaz, K. Naka, On quasi-hyperideals in semihypergroups, Comm. Algebra, 39 (2011), 4183-–4194.
  • [14] P. Corsini, Prolegomena of hypergroup theory, second ed., Aviani Editore, Tricesimo, 1993.
  • [15] P. Corsini, Sur les semi-hypergroupes, Atti Soc. Pelorit. Sci. Fis. Math. Nat., 26(4) (1980), 363—372.
  • [16] S. M. Anvariyeh, S. Mirvakili, B. Davvaz, On G-hyperideals in G-semihypergroups, Carpathian J. Math., 26(1) (2010), 11-23.
  • [17] K. Hila, B. Davvaz, J. Dine, Study on the structure of G-semihypergroups, Commun. Algebra, 40(8) (2012), 2932-2948.
  • [18] A. Basar, M. Y. Abbasi, S. A. Khan, An introduction of theory of involutions and their weakly prime hyperideals, J. Indian Math. Soc., 86(3-4) (2019), 1-11.
  • [19] A. Basar, Application of (m, n)- G -hyperideals in characterization of LA- G -semihypergroups, Discuss. Math. Gen. Algebra Appl., 39(1)(2019), 135-147.
  • [20] A. Basar, A note on (m, n)-G-ideals of ordered LA-G–semigroups, Konuralp J. Math., 7(1) (2019), 107-111.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Abul Basar 0000-0003-2740-0322

Mohammad Yahya Abbasi 0000-0003-2740-0322

Satyanarayana Bhavanari Bu kişi benim

Yayımlanma Tarihi 17 Haziran 2019
Gönderilme Tarihi 23 Mart 2019
Kabul Tarihi 15 Mayıs 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA Basar, A., Abbasi, M. Y., & Bhavanari, S. (2019). On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. Fundamental Journal of Mathematics and Applications, 2(1), 18-23. https://doi.org/10.33401/fujma.543712
AMA Basar A, Abbasi MY, Bhavanari S. On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. Fundam. J. Math. Appl. Haziran 2019;2(1):18-23. doi:10.33401/fujma.543712
Chicago Basar, Abul, Mohammad Yahya Abbasi, ve Satyanarayana Bhavanari. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications 2, sy. 1 (Haziran 2019): 18-23. https://doi.org/10.33401/fujma.543712.
EndNote Basar A, Abbasi MY, Bhavanari S (01 Haziran 2019) On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. Fundamental Journal of Mathematics and Applications 2 1 18–23.
IEEE A. Basar, M. Y. Abbasi, ve S. Bhavanari, “On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups”, Fundam. J. Math. Appl., c. 2, sy. 1, ss. 18–23, 2019, doi: 10.33401/fujma.543712.
ISNAD Basar, Abul vd. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications 2/1 (Haziran 2019), 18-23. https://doi.org/10.33401/fujma.543712.
JAMA Basar A, Abbasi MY, Bhavanari S. On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. Fundam. J. Math. Appl. 2019;2:18–23.
MLA Basar, Abul vd. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications, c. 2, sy. 1, 2019, ss. 18-23, doi:10.33401/fujma.543712.
Vancouver Basar A, Abbasi MY, Bhavanari S. On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups. Fundam. J. Math. Appl. 2019;2(1):18-23.

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