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All Regular Elements in HypG(2)
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  • Journal title : Kyungpook mathematical journal
  • Volume 51, Issue 2,  2011, pp.139-143
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2011.51.2.139
 Title & Authors
All Regular Elements in HypG(2)
Puninagool, Wattapong; Leeratanavalee, Sorasak;
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In this paper we consider mappings which map the binary operation symbol f to the term (f) which do not necessarily preserve the arities. We call these mappings generalized hypersubstitutions. Any generalized hypersubstitution can be extended to a mapping on the set of all terms of type = (2). We de ne a binary operation on the set (2) of all generalized hypersubstitutions of type = (2) by using this extension The set (2) together with the identity generalized hypersubstitution which maps f to the term f() forms a monoid. We determine all regular elements of this monoid.
generalized hypersubstitution;regular elements;
 Cited by
NATURAL PARTIAL ORDERING ON E(HypG(2)), Asian-European Journal of Mathematics, 2013, 06, 02, 1350016  crossref(new windwow)
The Relationship between Some Regular Subsemigroups ofHypG2, Journal of Mathematics, 2014, 2014, 1  crossref(new windwow)
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