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This paper studies the multiplicative ideal structure of commutative rings inwhich every finitely generated ideal is quasi-projective. Section 2 providessome preliminaries on quasi-projective modules over commutative rings. Section3 investigates the correlation with well-known Prufer conditions; namely, weprove that this class of rings stands strictly between the two classes ofarithmetical rings and Gaussian rings. Thereby, we generalize Osofsky's theoremon the weak global dimension of arithmetical rings and partially resolveBazzoni-Glaz's related conjecture on Gaussian rings. We also establish ananalogue of Bazzoni-Glaz results on the transfer of Prufer conditions between aring and its total ring of quotients. Section 4 examines various contexts oftrivial ring extensions in order to build new and original examples of ringswhere all finitely generated ideals are subject to quasi-projectivity, markingtheir distinction from related classes of Prufer rings.

Commutative rings in which every finitely generated ideal is quasi-projective