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- W2965338943 abstract "In this paper, it is shown that, for every non-trivial variety [Formula: see text] of groups, the variety [Formula: see text] of all completely regular semigroups all of whose subgroups belong to [Formula: see text] is minimal in its kernel class in the lattice [Formula: see text] of all varieties of completely regular semigroups, and hence it constitutes, in fact, a singleton kernel class in the lattice [Formula: see text]. Even more generally, it is shown that, for every variety [Formula: see text] of completely simple semigroups which does not consist entirely of rectangular groups, the variety [Formula: see text] of all completely regular semigroups all of whose completely simple subsemigroups belong to [Formula: see text] is minimal in its kernel class in the lattice [Formula: see text], and hence it likewise constitutes a singleton kernel class in the mentioned lattice [Formula: see text]." @default.
- W2965338943 created "2019-08-13" @default.
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- W2965338943 date "2019-10-24" @default.
- W2965338943 modified "2023-09-27" @default.
- W2965338943 title "On singleton kernel classes in the lattice of varieties of completely regular semigroups" @default.
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- W2965338943 doi "https://doi.org/10.1142/s0218196719500541" @default.
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