This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our work is motivated by an attempt to generate new original classes of rings possessing this property.

中文翻译：

---

当每个有限射影理想都是射影的

本文研究了每个有限射影理想都是射影的环类（简称FPP-ring）。我们研究了这个属性在各种交换环扩展的上下文中的转移，例如直接积、同态图像、平凡环扩展和合并环。我们的工作的动机是试图生成具有此属性的新的原始环类。