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

Trivial extensions defined by Prufer conditions