본문 바로가기
KERD
논문KCI 등재

Commutative single power cyclic hypergroups of order 4 and period 2

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper we enumerate all commutative single power cyclic hypergroups of order 4 and period 2. Moreover, we prove some interesting properties regarding cyclic hypergroups.

Abstract

In this paper we enumerate all commutative single power cyclic hypergroups of order 4 and period 2. Moreover, we prove some interesting properties regarding cyclic hypergroups.

참고문헌 (21)

  1. M. Al Tahan, "On a special single- power cyclic hypergroup and its automorphisms, Discrete Mathematics", Algorithms and Applications, 8(4), pp.12~ (2016)
  2. M. Al Tahan, "On some properties of single power cyclic hyper-groups and regular relations", J. Algebra Appl, 16(11), pp.14~ (2017)
  3. M. Al Tahan, "Hypermatrix representations of single power cyclic hypergroups", Ital. J. Pure Appl. Math, 38, pp.679~696 (2017)
  4. M. Al Tahan, "Commutative single power cyclic hypergroups of order three and period two, Discrete Mathematics", Algorithms and Applications (DMAA), 19(5), pp.15~ (2017)
  5. M. Al Tahan, "An overview of topological hypergroupoids", Journal of Intelligent and Fuzzy Systems, 34(3), pp.1907~1916 (2018)
  6. N. Antampoufis, "A brief survey on the two differ-ent approaches of fundamental equivalence relations on hyperstructures", Ratio Mathematica, 33, pp.47~60 (2017)
  7. P. Corsini, "Prolegomena of Hypergroup Theory", pp.216~ (1993), Aviani Editore
  8. P. Corsini, "Advances in Mathematics" (2003), Kluwer Academic Publisher
  9. B. Davvaz, "Semihypergroup Theory", pp.2016, Elsevier
  10. M. De Salvo, "Cyclic semihypergroups and hypergroups", (Italian)Atti Sem. Mat. Fis. Univ. Modena, 30(1), pp.44~59 (1981)
  11. D. Freni, "Cyclic hypergroups and torsion in hypergroups", Matematiche (Catania), 35(1-2), pp.270~286 (1980)
  12. S. Hoskova-Mayerova, "Algebraic hyperstructures and social rela-tions", Italian Journal of Pure and Applied Mathematics, 39, pp.701~709 (2018)
  13. L. Konguetsof, "On cyclic hy-pergroups with period", Acta Univ. Carolin. Math. Phys, 28(1), pp.3~7 (1987)
  14. V. Leoreanu, "About the simplifiable cyclic semihypergroups", Ital. J. Pure Appl. Math, 7, pp.69~76 (2000)
  15. F. Marty, "Sur une generalization de la notion de group", 8th Congress Math. Scandenaves, pp.45~49 (1934)
  16. S. Mirvakili, "Cyclic modules over fundamental rings derived from strongly regular equivalences", Annales mathematiques du Que-bec, 41, pp.265~276 (2017)
  17. J. Mittas, "Hypergroups canoniques", Math. Balkanica, 2, pp.165~179 (1972)
  18. S. S. Mousavi, "Cyclic groups obtained as quotient hypergroups", An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 61(1), pp.109~122 (2015)
  19. Michal Novák, "Cyclicity in EL–Hypergroups", Symmetry, 10(11), pp.611~ (2018), MDPI AG[DOI]
  20. T. Vougiouklis, "Cyclicity in a special class of hypergroups", Acta Univ. Carolin. Math. Phys, 22(1), pp.3~6 (1981)
  21. T. Vougiouklis, "Hyperstructures and Their Representations" (1994), Hadronic Press

관련 논문AI추천

이 간행물의 다른 논문 (16건)