N-ary hypergroups

被引：0
|
作者：
Davvaz, B. [1 ]
Vougiouklis, T. [2 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
[2] Democritus Univ Thrace, Sch Sci & Educ, Alexandroupolis, Greece
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2006年 / 30卷 / A2期
关键词：
hypergroup; n-ary hypergroup; n-ary group; fundamental equivalence relation;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper the class of n-ary hypergroups is introduced and several properties are found and examples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On the other hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define the fundamental relation beta* on an n-ary hypergroup H as the smallest equivalence relation such that H/beta* is the n-ary group, and then some related properties are investigated.
引用
收藏
页码：165 / +
页数：11
相关论文
共 50 条
  • [41] A FORTRAN N-ARY COUNTER
    KENT, W
    COMMUNICATIONS OF THE ACM, 1965, 8 (06) : 378 - &
  • [42] AXIOMATICS OF N-ARY GROUPS
    TYUTIN, VI
    DOKLADY AKADEMII NAUK BELARUSI, 1985, 29 (08): : 691 - 693
  • [43] ON EXPONENTIATION OF N-ARY ALGEBRAS
    SLAPAL, J
    ACTA MATHEMATICA HUNGARICA, 1994, 63 (04) : 313 - 322
  • [44] TRANSLATIONS OF N-ARY GROUPS
    GALMAK, AM
    DOKLADY AKADEMII NAUK BELARUSI, 1986, 30 (08): : 677 - 680
  • [45] On Idempotent n-ary Uninorms
    Devillet, Jimmy
    Kiss, Gergely
    Marichal, Jean-Luc
    MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE (MDAI 2019), 2019, 11676 : 98 - 104
  • [46] Example of n-ary bialgebra
    Zekovic, B.
    2012 PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD), 2012, : 250 - 252
  • [47] (n + 1)-Ary derivations of simple n-ary algebras
    I. B. Kaygorodov
    Algebra and Logic, 2011, 50 : 470 - 471
  • [48] Balanced identity that describes n-ary group isotopes in the class of all n-ary quasigroups
    Kirnasovskii O.Y.
    Ukrainian Mathematical Journal, 1998, 50 (6) : 979 - 981
  • [49] Fuzzy n-ary subpolygroups
    Davvaz, B.
    Corsini, P.
    Leoreanu-Fotea, V.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (01) : 141 - 152
  • [50] Soft n-Ary Subgroups
    Williams, D. R. Prince
    Saeid, Arsham Borumand
    Feng, Feng
    FUZZY INFORMATION AND ENGINEERING, 2015, 7 (03) : 291 - 304
12345