  In their recent seminal paper published in the Annals of Pure and Applied
Logic, Dubuc and Poveda call an MV-algebra A strongly semisimple if all
principal quotients of A are semisimple. All boolean algebras are strongly
semisimple, and so are all finitely presented MV-algebras. We show that for any
1-generator MV-algebra semisimplicity is equivalent to strong semisimplicity.
Further, a semisimple 2-generator MV-algebra A is strongly semisimple if and
only if its maximal spectral space m(A) does not have any rational
Bouligand-Severi tangents at its rational points. In general, when A is
finitely generated and m(A) has a Bouligand-Severi tangent then A is not
strongly semisimple.
