Geodesic
Two Infinite Sequences of Pre-Maximal Extensions of the Relevant Logic E
Bulletin of the Section of Logic, Tome 48 (2019) no. 1

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The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E,CL] called pre-maximal if and only if L is a coatom in the interval [E,CL]. We present two denumerable infinite sequences of premaximal extensions of the logic E. Note that for the relevant logic R there exist exactly three pre-maximal logics, i.e. coatoms in the interval [R,CL].
Keywords: relevant logic, non-classical logics, lattice, universal algebra 
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     author = {Typa\'nska-Czajka, Lidia},
     title = {Two {Infinite} {Sequences} of {Pre-Maximal} {Extensions} of the {Relevant} {Logic} {E}},
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     url = {http://geodesic.mathdoc.fr/item/BSL_2019_48_1_a4/}
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Typańska-Czajka, Lidia. Two Infinite Sequences of Pre-Maximal Extensions of the Relevant Logic E. Bulletin of the Section of Logic, Tome 48 (2019) no. 1. http://geodesic.mathdoc.fr/item/BSL_2019_48_1_a4/