One interval in the lattice of partial hyperclones

Rade Doroslovački; Jovanka Pantović; Gradimir Vojvodić

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 3, page 719-724
  • ISSN: 0011-4642

Abstract

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In this paper the structure of the interval in the lattice of partial hyperclones is determined, where is the clone of all total operations and is the clone of all partial hyperoperations on .

How to cite

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Doroslovački, Rade, Pantović, Jovanka, and Vojvodić, Gradimir. "One interval in the lattice of partial hyperclones." Czechoslovak Mathematical Journal 55.3 (2005): 719-724. <http://eudml.org/doc/30982>.

@article{Doroslovački2005,
abstract = {In this paper the structure of the interval $[O_A, Hp_A]$ in the lattice of partial hyperclones is determined, where $O_A$ is the clone of all total operations and $Hp_A$ is the clone of all partial hyperoperations on $A$.},
author = {Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir},
journal = {Czechoslovak Mathematical Journal},
keywords = {clone; hyperoperation; hyperalgebra; hyperclone; clone; hyperoperation; hyperalgebra; hyperclone},
language = {eng},
number = {3},
pages = {719-724},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {One interval in the lattice of partial hyperclones},
url = {http://eudml.org/doc/30982},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Doroslovački, Rade
AU - Pantović, Jovanka
AU - Vojvodić, Gradimir
TI - One interval in the lattice of partial hyperclones
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 719
EP - 724
AB - In this paper the structure of the interval $[O_A, Hp_A]$ in the lattice of partial hyperclones is determined, where $O_A$ is the clone of all total operations and $Hp_A$ is the clone of all partial hyperoperations on $A$.
LA - eng
KW - clone; hyperoperation; hyperalgebra; hyperclone; clone; hyperoperation; hyperalgebra; hyperclone
UR - http://eudml.org/doc/30982
ER -

References

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  1. A Course in Universal Algebra. Graduate Texts in Mathematics, Vol  78, Springer-Verlag, New York-Heidelberg-Berlin, 1981. (1981) MR0648287
  2. Multiclones and relations, Multi-Val. Logic 7 (2001), 313–337. (2001) MR1901118
  3. A maximal partial clone and a Slupecki-type criterion, Acta Sci. Math. 54 (1990), 89–98. (1990) MR1073422
  4. Funktionen und Relationenalgebren. Ein Kapitel der diskreten Mathematik, Deutscher Verlag der Wiss., Berlin, 1979 (in German); Birkhäuser Verlag, Basel u. Stuttgart (Math. Reihe Bd.  67). (1979 (in German); Birkhäuser Verlag, Basel u. Stuttgart (Math. Reihe Bd.  67)) MR0543839
  5. An algebraic aproach to hyperalgebras, Proceedings of 26th ISMVL, Santiago de Compostela, May 28–31, 1996, IEEE, 1996, pp. 203–207. (1996) 
  6. Multiple-valued hyperstructures, Proceedings of 28th ISMVL, May 27–29, 1998, IEEE, 1998, pp. 326–333. (1998) MR1676973

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