IJPAM: Volume 86, No. 4 (2013)
COHYPERSUBSTITUTIONS OF TYPE
Department of Mathematics
Faculty of Science
Mahasarakham, 44150, THAILAND
Abstract. A mapping which assigns to every -ary cooperation symbol a coterm of type is said to be a generalized cohypersubstitution of type . Every generalized cohypersubstition of type induces a mapping on the set of all coterms of type . The set of all generalized cohypersubstitutions of type under the binary operation which is defined by for all forms a monoid which is called the monoid of cohypersubstitution of type . In this research, we characterize all idempotent and regular elements of where .
Received: June 10, 2013
AMS Subject Classification: 20M14, 20F50
Key Words and Phrases: cohypersubstitutions, coterms, superpositions, idempotent elements, regular elements
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DOI: 10.12732/ijpam.v86i4.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395