  This paper deals with well-known extensions of the Prufer domain concept to
arbitrary commutative rings. We investigate the transfer of these notions in
trivial ring extensions (also called idealizations) of commutative rings by
modules and then generate original families of rings with zerodivisors subject
to various Prufer conditions. The new examples give further evidence for the
validity of Bazzoni-Glaz conjecture on the weak dimension of Gaussian rings.
Moreover, trivial ring extensions allow us to widen the scope of validity of
Kaplansky-Tsang conjecture on the content ideal of Gaussian polynomials.
