Informace o publikaci
The pseudovariety Com * D viewed as a power pseudovariety
| Autoři | |
|---|---|
| Rok publikování | 2025 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Algebra and Computation |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1142/S0218196725500043 |
| Doi | http://dx.doi.org/10.1142/S0218196725500043 |
| Klíčová slova | Pseudovarieties of semigroups; pseudoidentities; semidirect products of pseudovarieties; power pseudovarieties; recognizable languages; syntactic semigroups; varieties of languages; Eilenberg's theorem; Straubing's wreath product principle |
| Popis | The objective of this paper is to document that the pseudovariety equation PX = Com * D admits a solution U. This solution U is a pseudovariety raised up by Almeida in his book on finite semigroups and universal algebra as a prospective candidate for such a solution. This result achieved in the present paper resolves an open problem posed by Almeida in his book a long time ago. |