This article is cited in 1 paper

RESEARCH ARTICLE

Green's relations on the seminearring of full hypersubstitutions of type $(n)$

T. Changphas, K. Denecke

Universität Potsdam Institut für Mathematik, Potsdam, Germany Universität Potsdam, Institut für Mathematik, D–14415 Potsdam (Germany), PF 601553

Abstract: Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green's relation $\mathcal R$ on a sub-seminearring of the seminearring $Hyp(n)$ of all hypersubstitutions of type $(n)$.

Keywords: full hypersubstitutions, seminearring, Green's relations.

MSC: 08B15

Received: 23.09.2002

Language: English

Bibliographic databases:

• 
•