Meet-reducible submaximal clones determined by two central relations
2019 ◽
Vol 12
(04)
◽
pp. 1950064
Let [Formula: see text] and [Formula: see text] be two central relations on a finite set [Formula: see text]. It is known from Rosenberg’s classification theorem (1965) that the clones [Formula: see text] and [Formula: see text] which consist of all operations on [Formula: see text] that preserve [Formula: see text], respectively, [Formula: see text] are among the maximal clones on [Formula: see text]. In this paper, we find all central relations [Formula: see text] such that the clone [Formula: see text] is a maximal subclone of [Formula: see text], where [Formula: see text] is a fixed central relation.
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1970 ◽
Vol 68
(2)
◽
pp. 267-274
◽
2020 ◽
Vol 28
(5)
◽
pp. 727-738
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Keyword(s):