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- W2017261401 abstract "We prove that every semigroup S whose quasivariety contains a 3-nilpotent semigroup or a semigroup of index more than 2 has no finite basis for its quasi-identities provided that one of the following properties holds: • S is finite; • S has a faithful representation by injective partial maps on a set; • S has a faithful representation by order preserving maps on a chain. As a corollary it is shown that, in an asymptotic sense, almost all finite semigroups and finite monoids admit no finite basis for their quasi-identities." @default.
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- W2017261401 date "2008-11-25" @default.
- W2017261401 modified "2023-10-11" @default.
- W2017261401 title "Relatively inherently nonfinitely q-based semigroups" @default.
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- W2017261401 doi "https://doi.org/10.1090/s0002-9947-08-04798-3" @default.
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