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Year 2019, , 18 - 23, 17.06.2019
https://doi.org/10.33401/fujma.543712

Abstract

References

  • [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

Year 2019, , 18 - 23, 17.06.2019
https://doi.org/10.33401/fujma.543712

Abstract

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.

References

  • [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.
There are 20 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Abul Basar 0000-0003-2740-0322

Mohammad Yahya Abbasi 0000-0003-2740-0322

Satyanarayana Bhavanari This is me

Publication Date June 17, 2019
Submission Date March 23, 2019
Acceptance Date May 15, 2019
Published in Issue Year 2019

Cite

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. June 2019;2(1):18-23. doi:10.33401/fujma.543712
Chicago Basar, Abul, Mohammad Yahya Abbasi, and Satyanarayana Bhavanari. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications 2, no. 1 (June 2019): 18-23. https://doi.org/10.33401/fujma.543712.
EndNote Basar A, Abbasi MY, Bhavanari S (June 1, 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, and S. Bhavanari, “On generalized $\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups”, Fundam. J. Math. Appl., vol. 2, no. 1, pp. 18–23, 2019, doi: 10.33401/fujma.543712.
ISNAD Basar, Abul et al. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications 2/1 (June 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 et al. “On Generalized $\Gamma$-Hyperideals in Ordered $\Gamma$-Semihypergroups”. Fundamental Journal of Mathematics and Applications, vol. 2, no. 1, 2019, pp. 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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