Surveys in Mathematics and its Applications


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

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

ALL MAXIMAL IDEMPOTENT SUBMONOIDS OF HypG(n)

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.

Full text

References

  1. J.M. Howie, Fundamentals of Semigroup Theory, Academic Press, London, 1995. MR1455373(98e:20059). Zbl 0835.20077.

  2. S. Leeratanavalee and K. Denecke, Generalized Hypersubstitutions and Strongly Solid Varieties, General Algebra and Applications, Proc. of the ``59 th Workshop on General Algebra", ``15 th Conference for Young Algebraists Potsdam 2000", Springer Verlag(2000), 135-145.

  3. W. Puningool and S. Leeratanavalee, The Monoid of Generalized Hypersubstitutions of Type τ=(n), Discussiones Mathematicae: General Algebra and Applications 30 (2010) 173-191. MR2814092(2012c:08006). Zbl 1245.08003.




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


http://www.utgjiu.ro/math/sma