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The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)
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  • Journal title : Kyungpook mathematical journal
  • Volume 54, Issue 3,  2014, pp.501-509
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2014.54.3.501
 Title & Authors
The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)
Sudsanit, Sivaree; Leeratanavalee, Sorasak;
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In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in the set of normal form hypersubstitutions of type which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type . They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of . In this paper, we study the similar problems on the set of all generalized hypersubstitutions of type and the set of all normal form generalize hypersubstitutions of type and determine the order of normal form generalize hypersubstitutions of type .
Order;normal form generalized hypersubstitution;idempotent element;
 Cited by
K. Denecke, K. Mahdavi, The Order of Normal Form Hypersubstitutions of Type (2), Discussiones Mathematicae General Algebra and Applications, 20(2000), 183-192. crossref(new window)

K. Denecke, Sh. L. Wismath, Hyperidentities and clones, Gordon and Breach Sci. Publ., Amsterdam-Singapore(2000).

S. Leeratanavalee, K. Denecke, Generalized Hypersubstitutions and Strongly Solid Varieties, In General and Applications, Proc. of "59th Workshop on General Algebra ", "15th Conference for Young Algebraists Potsdam 2000", Shaker Verlag(2000), 135-145.

S. Leeratanavalee, S. Phatchat, Pre-Strongly Solid and Left-Edge (Right-Edge)-Strongly Solid Varieties of Semigroups, International Journal of Algebra, 1(5)(2007), 205-226.

J. P lonka, Proper and Inner Hypersubstitutions of Varieties, In proceedings of the International Conference : Summer School on General Algebra and Ordered Set 1994, Palacky University Olomouc (1994), 106-115.

W. Puninagool, S. Leeratanavalee, The Order of Generalized Hypersubstitutions of Type ${\tau}$ = (2), International Journal of Mathematics and Mathematical Science, Vol. 2008, Article ID 263541, 8 pages,doi:10.1155/2008/263541. crossref(new window)