On the irreducibility of pseudovarieties of semigroups
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Pure and Applied Algebra |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.sciencedirect.com/science/article/pii/S0022404915002637 |
| Doi | http://dx.doi.org/10.1016/j.jpaa.2015.09.015 |
| Field | General mathematics |
| Keywords | Profinite semigroups; pseudovarieties; join irreducibility |
| Description | We show that, for every pseudovariety of groups H, the pseudovariety H', consisting of all finite semigroups all of whose subgroups lie in H, is irreducible for join and the Mal'cev and semidirect products. |
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