Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 10 (2015), 41 -- 48

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This work is licensed under a Creative Commons Attribution 4.0 International License.


Weerapong Wongpinit and Sorasak Leeratanavalee

Abstract. A generalized hypersubstitution of type τ is a mapping which maps any operation symbol to the set of all terms of the same type which does not necessarily preserve the arity. The set of all generalized hypersubstitutions together with a binary operation and the identity element forms a monoid. In this paper we determine all maximal idempotent submonoids of this monoid of type τ=(n).

2010 Mathematics Subject Classification: 20B30; 20M05; 20M17.
Keywords: generalized hypersubstitution; idempotent element; idempotent submonoid.

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Weerapong Wongpinit Sorasak Leeratanavalee
Department of Mathematics, Department of Mathematics,
Faculty of Science, Faculty of Science,
Chiang Mai University, Chiang Mai University,
Chiang Mai 50200, Thailand. Chiang Mai 50200, Thailand.
E-mail: sivaree_sudsanit@hotmail.com E-mail: sorasak.l@cmu.ac.th