Regular elements and Green's relations in Menger algebras of terms
Klaus Denecke ; Prakit Jampachon
Discussiones Mathematicae - General Algebra and Applications, Tome 26 (2006), p. 85-109 / Harvested from The Polish Digital Mathematics Library
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Defining an (n+1)-ary superposition operation Sn on the set Wτ(Xn) of all n-ary terms of type τ, one obtains an algebra n-cloneτ:=(Wτ(Xn);Sn,x1,...,xn) of type (n+1,0,...,0). The algebra n-clone τ is free in the variety of all Menger algebras ([9]). Using the operation Sn there are different possibilities to define binary associative operations on the set Wτ(Xn) and on the cartesian power Wτ(Xn)n. In this paper we study idempotent and regular elements as well as Green’s relations in semigroups of terms with these binary associative operations as fundamental operations.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:276840 
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     author = {Klaus Denecke and Prakit Jampachon},
     title = {Regular elements and Green's relations in Menger algebras of terms},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {26},
     year = {2006},
     pages = {85-109},
     zbl = {1101.08003},
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Klaus Denecke; Prakit Jampachon. Regular elements and Green's relations in Menger algebras of terms. Discussiones Mathematicae - General Algebra and Applications, Tome 26 (2006) pp. 85-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1106/

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