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• W2094614916 abstract "A classification scheme for regular languages or finite semigroups was proposed by Pin through tree hierarchies, a scheme related to the concatenation product, an operation on languages, and to the Schützenberger product, an operation on semigroups. Starting with a variety of finite semigroups (or pseudovariety of semigroups) V , a pseudovariety of semigroups ♦ u ( V ) is associated to each tree u . In this paper, starting with the congruence γ A generating a locally finite pseudovariety of semigroups V for the finite alphabet A , we construct a congruence  u ( γA ) in such a way to generate ♦ u ( V ) for A . We give partial results on the problem of comparing the congruences  u ( γA ) or the pseudovarieties ♦ u ( V ) . We also propose case studies of associating trees to semidirect or two-sided semidirect products of locally finite pseudovarieties." @default.
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• W2094614916 date "1998-09-01" @default.
• W2094614916 modified "2023-10-17" @default.
• W2094614916 title "Trees, congruences and varieties of finite semigroups" @default.
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• W2094614916 doi "https://doi.org/10.1016/s0166-218x(98)00040-7" @default.
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