Green's relations on the seminearring of full hypersubstitutions of type $(n)$
Algebra and discrete mathematics, no. 1 (2003), pp. 6-19
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{ADM_2003_1_a1,
author = {T. Changphas and K. Denecke},
title = {Green's relations on the seminearring of full hypersubstitutions of type $(n)$},
journal = {Algebra and discrete mathematics},
pages = {6--19},
publisher = {mathdoc},
number = {1},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2003_1_a1/}
}
T. Changphas; K. Denecke. Green's relations on the seminearring of full hypersubstitutions of type $(n)$. Algebra and discrete mathematics, no. 1 (2003), pp. 6-19. http://geodesic.mathdoc.fr/item/ADM_2003_1_a1/