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- W2090423038 abstract "This note introduces the notion of a hyperdecidable pseudovariety. This notion appears naturally in trying to prove decidability of the membership problem of semi-direct products of pseudovarieties of semigroups. It turns out to be a generalization of a notion introduced by C. J. Ash in connection with his proof of the type II theorem. The main results in this paper include a formulation of the definition of a hyper-decidable pseudovariety in terms of free profinite semigroups, the equivalence with Ash's property in the group case, the behaviour under the operator g of taking the associated global pseudovariety of semigroupoids, and the decidability of V*W in case gV is decidable and has a given finite vertex-rank and W is hyperdecidable. A further application of this notion which is given establishes that the join of a hyperdecidable pseudovariety with a locally finite pseudovariety with computable free objects is again hyperdecidable." @default.
- W2090423038 created "2016-06-24" @default.
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- W2090423038 date "1999-06-01" @default.
- W2090423038 modified "2023-09-23" @default.
- W2090423038 title "HYPERDECIDABLE PSEUDOVARIETIES AND THE CALCULATION OF SEMIDIRECT PRODUCTS" @default.
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- W2090423038 doi "https://doi.org/10.1142/s0218196799000163" @default.
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