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Regular elements and Green's relations in Menger algebras of terms

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Denecke K., Jampachon P.

Discussiones Mathematicae - General Algebra and Applications

2006

tom 26

nr 1

85-109

Defining an (n+1)-ary superposition operation $S^n$ on the set $W_{τ}(X_n)$ of all n-ary terms of type τ, one obtains an algebra $n-clone τ := (W_{τ}(X_n); S^n, x_1, ..., x_n)$ of type (n+1,0,...,0). The algebra n-clone τ is free in the variety of all Menger algebras ([9]). Using the operation $S^n$ there are different possibilities to define binary associative operations on the set $W_{τ}(X_n)$ and on the cartesian power $W_{τ}(X_n)^n$. 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.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Denecke K.

1 Jampachon P.

1 2006

Wyniki wyszukiwania

Regular elements and Green's relations in Menger algebras of terms