In Universal Algebra, identities are used to classify algebras into collections, called varieties and hyperidentities are use to classify varieties into collections, called hypervarities. The concept of a hypersubstitution is a tool to study hyperidentities and hypervarieties. Generalized hypersubstitutions and strong identities generalize the concepts of a hypersubstitution and of a hyperidentity, respectively. The set of all generalized hypersubstitutions forms a monoid. In this paper, we determine the set of all completely regular elements of this monoid of type τ=(n).
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1203,
author = {Ampika Boonmee and Sorasak Leeratanavalee},
title = {All completely regular elements in $Hyp\_{G}(n)$
},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {33},
year = {2013},
pages = {211-219},
zbl = {1302.08008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1203}
}
Ampika Boonmee; Sorasak Leeratanavalee. All completely regular elements in $Hyp_{G}(n)$
. Discussiones Mathematicae - General Algebra and Applications, Tome 33 (2013) pp. 211-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1203/
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