## Reports on Mathematical Logic

### No. 44

Leonardo Manuel CABRER

Non canonicity of {BL}-algebras

A b s t r a c t. In this work we study canoncity of $\mathbf{BL}$-algebras and some of its subvarieties. We prove that the only subvarieties of \L $\mathbf{\Pi G}$ (see page 116) that are $\sigma$-canonical and $\pi$-canonical are the ones generated by finite families of finite algebras.