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Algebra and Discrete Mathematics, 2003, Issue 1, Pages 6–19 (Mi adm365)  
This article is cited in 1 scientific paper (total 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
Full-text PDF (190 kB) Citations (1)
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.
Received: 23.09.2002
Bibliographic databases:
Document Type: Article
MSC: 08B15
Language: English
Citation: T. Changphas, K. Denecke, “Green's relations on the seminearring of full hypersubstitutions of type $(n)$”, Algebra Discrete Math., 2003, no. 1, 6–19
Citation in format AMSBIB
\Bibitem{ChaDen03}
\by T.~Changphas, K.~Denecke
\paper Green's relations on the seminearring of full hypersubstitutions of type $(n)$
\jour Algebra Discrete Math.
\yr 2003
\issue 1
\pages 6--19
\mathnet{http://mi.mathnet.ru/adm365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051635}
\zmath{https://zbmath.org/?q=an:1036.08004}
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