The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)
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In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in HypNφ(V) the set of normal form hypersubstitutions of type τ = (2) which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type τ = (2). They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of HypNφ(V). In this paper, we study the similar problems on the set of all generalized hypersubstitutions of type τ = (2) and the set of all normal form generalized hypersubstitutions of type τ = (2) and determine the order of normal form generalized hypersubstitutions of type τ = (2).
Abstract
In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in HypNφ(V) the set of normal form hypersubstitutions of type τ = (2) which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type τ = (2). They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of HypNφ(V). In this paper, we study the similar problems on the set of all generalized hypersubstitutions of type τ = (2) and the set of all normal form generalized hypersubstitutions of type τ = (2) and determine the order of normal form generalized hypersubstitutions of type τ = (2).
참고문헌 (6)
- K. Denecke, "The Order of Normal Form Hypersubstitutions of Type (2)", Discussiones Mathematicae General Algebra and Applications, 20, pp.183~192 (2000)
- K. Denecke, "Hyperidentities and clones" (2000), Gordon and Breach Sci. Publ.
- S. Leeratanavalee, "Generalized Hypersubstitutions and Strongly Solid Varieties", Proc. of "59th Workshop on General Algebra ", "15th Conference for Young Algebraists Potsdam 2000", pp.135~145 (2000)
- S. Leeratanavalee, "Pre-Strongly Solid and Left-Edge (Right-Edge)-Strongly Solid Varieties of Semigroups", International Journal of Algebra, 1(5), pp.205~226 (2007)
- J. P lonka, "Proper and Inner Hypersubstitutions of Varieties", proceedings of the International Conference : Summer School on General Algebra and Ordered Set 1994, pp.106~115 (1994)
- W. Puninagool, "The Order of Generalized Hypersubstitutions of Type τ = (2)", International Journal of Mathematics and Mathematical Science, 2008, pp.8~ (2008)[DOI]