[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,
Volume: 2 Issue: 1, 18 - 23, 17.06.2019
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.
[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.
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.