Publication details
The pseudovariety Com * D viewed as a power pseudovariety
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Algebra and Computation |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1142/S0218196725500043 |
| Doi | https://doi.org/10.1142/S0218196725500043 |
| Keywords | 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 |
| Description | 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. |