Some remarks on dualisability and endodualisability
Gouveia, M. J.; (previously Saramago, M. J.)
Algebra Universalis, 43 (2000), 197-212
The fundamental problem of dualisability and the particular problem of endodualisability are discussed. It is proved that every finite generating algebra of a quasivariety generated by a finite dualisable algebra $\m$ is also dualisable. The corresponding result for endodualisablity is true when $\m$ is subdirectly irreducible. Under special conditions, it is also proved that a finite algebra $\m$ is endodualisable if and only if any finite power $\m^n$ of $\m$ is endodualisable.