Geodesic
One interval in the lattice of partial hyperclones
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 719-724
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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 $A$.
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 $A$.
Classification : 08A40
Keywords: clone; hyperoperation; hyperalgebra; hyperclone 
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Doroslovački, Rade; Pantović, Jovanka; Vojvodić, Gradimir. One interval in the lattice of partial hyperclones. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 719-724. http://geodesic.mathdoc.fr/item/CMJ_2005_55_3_a13/

[1] S. Burris and H. P.  Sankappanavar: A Course in Universal Algebra. Graduate Texts in Mathematics, Vol  78. Springer-Verlag, New York-Heidelberg-Berlin, 1981. | MR

[2] Th.  Drescher and R. Pöschel: Multiclones and relations. Multi-Val. Logic 7 (2001), 313–337. | MR

[3] L.  Haddad, I. G.  Rosenberg and D.  Schweigert: A maximal partial clone and a Slupecki-type criterion. Acta Sci. Math. 54 (1990), 89–98. | MR

[4] R.  Pöschel and L. A.  Kalužnin: 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). | MR

[5] I. G.  Rosenberg: An algebraic aproach to hyperalgebras. Proceedings of 26th ISMVL, Santiago de Compostela, May 28–31, 1996, IEEE, 1996, pp. 203–207.

[6] I. G.  Rosenberg: Multiple-valued hyperstructures. Proceedings of 28th ISMVL, May 27–29, 1998, IEEE, 1998, pp. 326–333. | MR