The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)

• 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;

Abstract
In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in $\small{Hyp_{N_{\varphi}}(V)}$ the set of normal form hypersubstitutions of type $\small{{\tau}=(2)}$ which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type $\small{{\tau}=(2)}$. They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of $\small{Hyp_{N_{\varphi}}(V)}$. In this paper, we study the similar problems on the set of all generalized hypersubstitutions of type $\small{{\tau}=(2)}$ and the set of all normal form generalize hypersubstitutions of type $\small{{\tau}=(2)}$ and determine the order of normal form generalize hypersubstitutions of type $\small{{\tau}=(2)}$.
Keywords
Order;normal form generalized hypersubstitution;idempotent element;
Language
English
Cited by
References
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