| Title: | A MODERN APPROACH TO SOME RESULTS OF STIFFLER |
| DOI No: | 10.1142/9789812702616_0013 |
| Source: | SEMIGROUPS AND LANGUAGES (pp 240-249)
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| Author(s): | BENJAMIN STEINBERG
The author was supported in part by the FCT and POCTI approved project POCTI/32817/MAT/2000 in participation with the european community fund FEDER and by FCT through Centro de Matemática da Universidade do Porto.
School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario K1S 5B6, Canada
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| Abstract: | We give a modern proof of Stiffler’s classical results describing the pseudovarieties of  -trivial semigroups and locally  -trivial semigroups as the wreath product closures of semilattices, respectively semilattices and right zero semigroups. Our proof uses the derived category of a functor developed by the author with B. Tilson. We prove a more general result describing functors between finite categories which are injective on coterminal  -equivalent elements. |
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