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Epimorphisms Between Finitely Generated Algebras by Carai, Luca; Kurtzhals, Miriam; Moraschini, Tommaso is a scholarly article available to read on EtoBox.

What is Epimorphisms Between Finitely Generated Algebras about?

A quasivariety has the weak ES property when the epimorphisms between its finitely generated members are surjective. A characterization of quasivarieties with the weak ES property is obtained and a method for detecting failures of this property in quasivarieties with a near unanimity term and in congruence permutable varieties is given. It is also shown that under reasonable assumptions the weak ES property implies arithmeticity. In particular, every filtral variety with the weak ES property is a discriminator variety.

Author

Carai, Luca; Kurtzhals, Miriam; Moraschini, Tommaso

Published

2024

Language

EN