메뉴 건너뛰기




Volumn 37, Issue 4, 2009, Pages 1248-1263

A generalization of n-ary algebraic systems

Author keywords

Algebraic system; Fundamental equivalence relation; n Ary hyperoperation; n Ary hypersemigroup; n Ary operation

Indexed keywords


EID: 67650892164     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00927870802466835     Document Type: Article
Times cited : (68)

References (37)
  • 1
    • 33646789826 scopus 로고    scopus 로고
    • Bi-element representations of ternary groups
    • Borowiec, A., Dudek, W. A. and Duplij, S. (2006) Bi-element representations of ternary groups. Comm. Algebra, 34(5):1651-1670.
    • (2006) Comm. Algebra , vol.34 , Issue.5 , pp. 1651-1670
    • Borowiec, A.1    Dudek, W.A.2    Duplij, S.3
  • 3
    • 0002204105 scopus 로고    scopus 로고
    • Hypergraphs and hypergroups
    • Corsini, P. (1996) Hypergraphs and hypergroups. Algebra Universalis 35:548-555.
    • (1996) Algebra Universalis , vol.35 , pp. 548-555
    • Corsini, P.1
  • 4
    • 0034362604 scopus 로고    scopus 로고
    • Hypergroups and binary relations
    • Corsini, P. and Leoreanu, V. (2000) Hypergroups and binary relations. Algebra Universalis 43:321-330.
    • (2000) Algebra Universalis , vol.43 , pp. 321-330
    • Corsini, P.1    Leoreanu, V.2
  • 7
    • 34748851845 scopus 로고    scopus 로고
    • Applications of the γ * -relation to polygroups
    • Davvaz, B. (2007) Applications of the γ* -relation to polygroups. Comm. Algebra 35:2698-2706.
    • (2007) Comm. Algebra , vol.35 , pp. 2698-2706
    • Davvaz, B.1
  • 8
    • 33845734058 scopus 로고    scopus 로고
    • A realization of hyperrings
    • Davvaz, B. and Salasi, A. (2006) A realization of hyperrings. Comm. Algebra 34(12):4389-4400.
    • (2006) Comm. Algebra , vol.34 , Issue.12 , pp. 4389-4400
    • Davvaz, B.1    Salasi, A.2
  • 10
    • 84987733899 scopus 로고
    • Partial semi-hypergroups
    • De Salvo, M. (1995) Partial semi-hypergroups. Riv. Mat. Pura Appl. 17:39-54.
    • (1995) Riv. Mat. Pura Appl. , vol.17 , pp. 39-54
    • de Salvo, M.1
  • 11
    • 10844226602 scopus 로고
    • Untersuchungen über einen verallgemeinerten Gruppenbegriff
    • Dörnte, W. (1928) Untersuchungen über einen verallgemeinerten Gruppenbegriff. Math. Z. 29:1-19.
    • (1928) Math. Z. , vol.29 , pp. 1-19
    • Dörnte, W.1
  • 14
    • 69249175964 scopus 로고    scopus 로고
    • On n-ary semigroups with adjoint neutral element
    • Dudek, W. A. and Mukhin, V. V. (2006) On n-ary semigroups with adjoint neutral element. Quasigroups and Related Systems 14:163-168.
    • (2006) Quasigroups and Related Systems , vol.14 , pp. 163-168
    • Dudek, W.A.1    Mukhin, V.V.2
  • 15
    • 30444447094 scopus 로고    scopus 로고
    • Representations of Menger (2, n)-semigroups by multiplace functions
    • Dudek, W. A. and Trokhimenko, V. S. (2006) Representations of Menger (2, n)-semigroups by multiplace functions. Comm. Algebra 34(1):259-274.
    • (2006) Comm. Algebra , vol.34 , Issue.1 , pp. 259-274
    • Dudek, W.A.1    Trokhimenko, V.S.2
  • 16
    • 49649092146 scopus 로고    scopus 로고
    • Around the Hosszu-Gluskin theorem for n-ary groups
    • Dudek, W. A. and Głazek, K. (2007) Around the Hosszu-Gluskin theorem for n-ary groups. Discrete Math. 308:4861-4876.
    • (2007) Discrete Math. , vol.308 , pp. 4861-4876
    • Dudek, W.A.1    Głazek, K.2
  • 17
    • 0036707326 scopus 로고    scopus 로고
    • A new characterization of the derived hypergroup via strongly regular equivalences
    • Freni, D. (2002) A new characterization of the derived hypergroup via strongly regular equivalences. Comm. Algebra 30(8):3977-3989.
    • (2002) Comm. Algebra , vol.30 , Issue.8 , pp. 3977-3989
    • Freni, D.1
  • 18
    • 22744438097 scopus 로고    scopus 로고
    • Strongly transitive geometric spaces: Applications to hypergroups and semigroups theory
    • Freni, D. (2004) Strongly transitive geometric spaces: applications to hypergroups and semigroups theory. Comm. Algebra 32(3):969-988.
    • (2004) Comm. Algebra , vol.32 , Issue.3 , pp. 969-988
    • Freni, D.1
  • 19
    • 49649084551 scopus 로고
    • Automorphisms of polyadic automata
    • Grzymala-Busse, J. W. (1969) Automorphisms of polyadic automata. J. Assoc. Comput. Mach. 16:208-219.
    • (1969) J. Assoc. Comput. Mach. , vol.16 , pp. 208-219
    • Grzymala-Busse, J.W.1
  • 20
    • 33845753354 scopus 로고    scopus 로고
    • On the γ-cyclic hypergroups
    • Karimian, M. and Davvaz, B. (2006) On the γ-cyclic hypergroups. Comm. Algebra 34(12):4579-4589.
    • (2006) Comm. Algebra , vol.34 , Issue.12 , pp. 4579-4589
    • Karimian, M.1    Davvaz, B.2
  • 21
    • 33646764856 scopus 로고
    • An extension of the group concept (reported by L. G. Weld)
    • Kasner, E. (1904) An extension of the group concept (reported by L. G. Weld). Bull. Amer. Math. Soc. 10:290-291.
    • (1904) Bull. Amer. Math. Soc. , vol.10 , pp. 290-291
    • Kasner, E.1
  • 23
    • 0013404848 scopus 로고
    • Groupoides, demi-hypergroupes et hypergroupes
    • Koskas, M. (1970) Groupoides, demi-hypergroupes et hypergroupes. J. Math. Pures et Appl. 49:155-192.
    • (1970) J. Math. Pures Et Appl. , vol.49 , pp. 155-192
    • Koskas, M.1
  • 27
    • 0011017101 scopus 로고    scopus 로고
    • Finite Quantum Groupoids and Their Applications. New Directions in Hopf Algebras
    • Cambridge: Cambridge Univ. Press
    • Nikshych, D. and Vainerman, L. (2002) Finite Quantum Groupoids and Their Applications. New Directions in Hopf Algebras. Math. Sci. Res. Inst. Publ., 43. Cambridge: Cambridge Univ. Press, pp. 211-216.
    • (2002) Math. Sci. Res. Inst. Publ. , vol.46 , pp. 211-216
    • Nikshych, D.1    Vainerman, L.2
  • 28
    • 0031521414 scopus 로고    scopus 로고
    • Construction of all homomorphisms of mono n-ary algebras
    • Novotny, M. (1996) Construction of all homomorphisms of mono n-ary algebras. Czechoslovak Math. J. 46(121):331-333.
    • (1996) Czechoslovak Math. J. , vol.46 , Issue.121 , pp. 331-333
    • Novotny, M.1
  • 29
    • 0036350786 scopus 로고    scopus 로고
    • Homomorphisms of algebras
    • Novotny, M. (2002) Homomorphisms of algebras. Czechoslovak Math. J. 52(127):345-364.
    • (2002) Czechoslovak Math. J. , vol.52 , Issue.127 , pp. 345-364
    • Novotny, M.1
  • 31
    • 0037323109 scopus 로고    scopus 로고
    • Enveloping algebras of Fillipov algebras
    • Pojidaev, A. P. (2003) Enveloping algebras of Fillipov algebras. Comm. Algebra 31:883-900.
    • (2003) Comm. Algebra , vol.31 , pp. 883-900
    • Pojidaev, A.P.1
  • 32
    • 0042859911 scopus 로고    scopus 로고
    • Single identities for varieties equivalent to quadruple systems
    • Stojaković, Z. and Dudek, W. A. (1998) Single identities for varieties equivalent to quadruple systems. Discrete Math. 183:277-284.
    • (1998) Discrete Math. , vol.183 , pp. 277-284
    • Stojakovic, Z.1    Dudek, W.A.2
  • 34
    • 0030530012 scopus 로고    scopus 로고
    • On special classes of n-algebras
    • Vainerman, L. and Kerner, R. (1996) On special classes of n-algebras. J. Math. Phys. 37:2553-2565.
    • (1996) J. Math. Phys. , vol.37 , pp. 2553-2565
    • Vainerman, L.1    Kerner, R.2
  • 35
    • 0042950651 scopus 로고
    • Representations of hypergroups by generalized permutations
    • Vougiouklis, T. (1992) Representations of hypergroups by generalized permutations. Algebra Universalis 29:172-183.
    • (1992) Algebra Universalis , vol.29 , pp. 172-183
    • Vougiouklis, T.1
  • 37
    • 0042515553 scopus 로고    scopus 로고
    • v-groups defined on the same set
    • v-groups defined on the same set. Discrete Math. 155:259-265.
    • (1996) Discrete Math. , vol.155 , pp. 259-265
    • Vougiouklis, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.