The variety of basic algebras is closed under formation of horizontal sums. We characterize when a given basic algebra is a horizontal sum of chains, MV-algebras or Boolean algebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1149,
author = {Ivan Chajda},
title = {Horizontal sums of basic algebras},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {29},
year = {2009},
pages = {21-33},
zbl = {1194.06005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1149}
}
Ivan Chajda. Horizontal sums of basic algebras. Discussiones Mathematicae - General Algebra and Applications, Tome 29 (2009) pp. 21-33. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1149/
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