The Gumm level equals the alvin level in congruence distributive varieties
Paolo Lipparini
Abstract:Congruence modular and congruence distributive varieties are characterized by the existence of sequences of Gumm and Jónsson terms, respectively. Such sequences have variable lengths, in general.It is immediate from the above paragraph that there is a variety with Gumm terms but without Jónsson terms. We prove the quite unexpected result that, on the other hand, if some variety has both kinds of terms, then the minimal lengths of the sequences differ at most by 1.It follows that every r-modular congruence dist… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.