Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 44: Issue 1
Representations of (2, n )-semigroups by multiplace functions
Authors: Wiesław Dudek 1 and Valentin Trokhimenko 2
View More View Less
  • 1 Wroclav University of Technology Institute of Mathematics and Computer Science 50-370 Wroclaw Poland
  • 2 Pedagogical University Department of Mathematics 21100 Vinnitsa Ukraine
DOI:
https://doi.org/10.1556/sscmath.2006.1008
Page Count:
131–146
Publication Date:
01 Mar 2007
Online Publication Date:
15 Jan 2007
Article Category:
Research Article
Restricted access

Purchase article

USD  $25.00

1 year subscription (Individual Only)

USD  $800.00
Purchase Online Subscription

  • Purchase article

    USD  $25.00

  • 1 year subscription (Individual Only)

    USD  $800.00

We describe the representations of (2, n )-semigroups, i.e., sets with n binary associative operations, by partial n -place functions and prove that any such representation is a union of some family of representations induced by Schein’s determining pairs.

  • Belousov, V. D. , Systems of orthogonal operations, (Russian), Mat. Sbornik 77 (119) (1968), 38–58. MR 38 #1200

    Belousov V. D. , 'Systems of orthogonal operations, (Russian) ' (1968 ) 77 Mat. Sbornik : 38 -58.

    • Search Google Scholar

  • Dudek, W. A. and Trokhimenko, V. S. , Representations of Menger (2, n )-semi-groups by multiplace functions, Commun. Algebra 34 (2006), 259–274. MR 2194765

    Trokhimenko V. S. , 'Representations of Menger (2, n)-semi-groups by multiplace functions ' (2006 ) 34 Commun. Algebra : 259 -274.

    • Search Google Scholar

  • Mann, H. , On orthogonal Latin squares, Bull. Amer. Math. Soc. 50 (1944), 249–257. MR 6 ,14a

    Mann H. , 'On orthogonal Latin squares ' (1944 ) 50 Bull. Amer. Math. Soc. : 249 -257.

  • Schein, B. M. , Lectures on semigroups of transformations, Amer. Math. Soc. Translat. (2), 113 (1979), 123–181.

  • Schein, B. M. and Trokhimenko, V. S. , Algebras of multiplace functions, Semi-group Forum 17 (1979), 1–64. MR 80e :08002

    Trokhimenko V. S. , 'Algebras of multiplace functions ' (1979 ) 17 Semi-group Forum : 1 -64.

  • Sokhatsky F. N. , An abstract characterization of (2, n )-semigroups of n -ary operations, (Russian), Mat. Issled. 65 (1982), 132–139. MR 83m :20101

    Sokhatsky F. N. , 'An abstract characterization of (2, n)-semigroups of n-ary operations, (Russian) ' (1982 ) 65 Mat. Issled. : 132 -139.

    • Search Google Scholar

  • Trokhimenko, V. S. , On algebras of binary operations, (Russian), Mat. Issled. 7 (1972), 253–261. MR 47 #4896

    Trokhimenko V. S. , 'On algebras of binary operations, (Russian) ' (1972 ) 7 Mat. Issled. : 253 -261.

    • Search Google Scholar

  • Yakubov, T. , On (2, n )-semigroups of n -ary operations, (Russian), Bull. Akad. Ştiinţe SSR Moldov . 1 (1974), 29–46. MR 49 #9112

    Yakubov T. , 'On (2, n)-semigroups of n-ary operations, (Russian) ' (1974 ) 1 Bull. Akad. Ştiinţe SSR Moldov : 29 -46.

    • Search Google Scholar

  • Zaretsky, K. A. , An abstract characterization of the bisemigroups of binary operations, (Russian), Mat. Zametki 1 (1967), 525–530.

    Zaretsky K. A. , 'An abstract characterization of the bisemigroups of binary operations, (Russian) ' (1967 ) 1 Mat. Zametki : 525 -530.

    • Search Google Scholar
Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 20N15; 08N05; n -place function; algebra of functions; (2, n )-semigroup

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Aug 2020 1 0 0
Sep 2020 0 0 0
Oct 2020 0 0 0
Nov 2020 0 0 0
Dec 2020 1 0 0
Jan 2021 0 0 0
Feb 2021 0 0 0