Projection representable relations on Menger ( 2 , n ) -semigroups

Wiesław Aleksander Dudek; Valentin S. Trokhimenko

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 1015-1037
  • ISSN: 0011-4642

Abstract

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Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial n -place functions are presented. Representations of Menger ( 2 , n ) -semigroups by partial n -place functions closed with respect to these relations are investigated.

How to cite

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Dudek, Wiesław Aleksander, and Trokhimenko, Valentin S.. "Projection representable relations on Menger $(2,n)$-semigroups." Czechoslovak Mathematical Journal 58.4 (2008): 1015-1037. <http://eudml.org/doc/37882>.

@article{Dudek2008,
abstract = {Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial $n$-place functions are presented. Representations of Menger $(2,n)$-semigroups by partial $n$-place functions closed with respect to these relations are investigated.},
author = {Dudek, Wiesław Aleksander, Trokhimenko, Valentin S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {$n$-place function; algebra of functions; Menger algebra; $(2,n)$-semigroup; -place functions; algebras of functions; Menger algebras; -semigroups},
language = {eng},
number = {4},
pages = {1015-1037},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Projection representable relations on Menger $(2,n)$-semigroups},
url = {http://eudml.org/doc/37882},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Dudek, Wiesław Aleksander
AU - Trokhimenko, Valentin S.
TI - Projection representable relations on Menger $(2,n)$-semigroups
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 1015
EP - 1037
AB - Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial $n$-place functions are presented. Representations of Menger $(2,n)$-semigroups by partial $n$-place functions closed with respect to these relations are investigated.
LA - eng
KW - $n$-place function; algebra of functions; Menger algebra; $(2,n)$-semigroup; -place functions; algebras of functions; Menger algebras; -semigroups
UR - http://eudml.org/doc/37882
ER -

References

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  1. Dudek, W. A., Trokhimenko, V. S., 10.1081/AGB-120016022, Commun. Algebra 30 (2002), 5921-5931. (2002) Zbl1018.20057MR1941932DOI10.1081/AGB-120016022
  2. Dudek, W. A., Trokhimenko, V. S., 10.1080/00927870500346255, Commun. Algebra 34 (2006), 259-274. (2006) Zbl1092.20051MR2194765DOI10.1080/00927870500346255
  3. Dudek, W. A., Trokhimenko, V. S., Menger algebras of multiplace functions, Russian Centrul Ed. USM. Khishinev, 2006, ISBN 978-9975-70-621-6. Zbl1115.08001MR2292134
  4. Mann, H. B., 10.1090/S0002-9904-1944-08127-5, Bull. Amer. Math. Soc. 50 (1944), 249-257. (1944) Zbl0060.32307MR0010401DOI10.1090/S0002-9904-1944-08127-5
  5. Novák, V., Novotný, M., Transitive ternary relations and quasiorderings, Arch. Math. (Brno) 1/2 (1989), 5-12. (1989) MR1189193
  6. Riguet, J., 10.24033/bsmf.1401, Bull. Soc. Math. France 76 (1948), 114-155. (1948) Zbl0033.00603MR0028814DOI10.24033/bsmf.1401
  7. Schein, B. M., A relation of co-definability on semigroups of functions, Russian Ordered sets and lattices 1 (1971), 86-89 (Izdat. Saratov. Gos. Univ.). (1971) MR0379727
  8. Schein, B. M., Projection partitions of function semigroups, Math. Rep. Acad. Sci., R. Soc. Canada 1 (1979), 67-70. (1979) Zbl0404.20058MR0519525
  9. Schein, B. M., 10.1090/trans2/113/06, Amer. Math. Soc. Translat. 113 (1979), 123-181. (1979) Zbl0404.20057DOI10.1090/trans2/113/06
  10. Schein, B. M., Trohimenko, V. S., 10.1007/BF02194309, Semigroup Forum 17 (1979), 1-64. (1979) Zbl0397.08001MR0521147DOI10.1007/BF02194309
  11. Sokhatskij, F. N., An abstract characterization of ( 2 , n ) -semigroups of n -ary operations, Russian Mat. Issled. 65 (1982), 132-139. (1982) MR0669748
  12. Trokhimenko, V. S., Ordered algebras of multiplace functions, Russian Izv. Vyssh. Uchebn. Zaved. Matematika 1 (1971), 90-98. (1971) MR0285461
  13. Trokhimenko, V. S., Abstract characterizations of some algebras of multiplace functions, Russian Izv. Yyssh. Uchebn. Zaved. Matematika 4 (1971), 87-95. (1971) Zbl0221.08002
  14. Trokhimenko, V. S., Characterization of the co-definability relation on ordered algebras of multiplace functions, Russian Izv. Vyssh. Uchebn. Zaved. Matematika 9 (1977), 80-88. (1977) 
  15. Trokhimenko, V. S., 10.1007/s000120050175, Algebra Universalis 44 (2000), 129-142. (2000) Zbl1014.08004MR1803079DOI10.1007/s000120050175
  16. Yakubov, T., On ( 2 , n ) -semigroups of n -ary operations, Russian Bull. Akad. Ştiinţa SSR Moldov. 1 (1974), 29-46. (1974) 

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