用自由基元推广Serre分裂定理和Bass消去定理
Generalizing Serre's Splitting Theorem and Bass's Cancellation Theorem via free-basic elements
摘要：
本文给出了Stafford的两个结果的新证明，推广了Serre和Bass关于投射模的两个著名定理.我们的技术受到基本元素理论的启发。利用这些方法，我们进一步推广了塞尔的分裂定理，通过施加一个条件的分裂映射，它有一个应用的情况下的卡地亚代数。
英文摘要：
We give new proofs of two results of Stafford, which generalize two famous Theorems of Serre and Bass regarding projective modules. Our techniques are inspired by the theory of basic elements. Using these methods we further generalize Serre's Splitting Theorem by imposing a condition to the splitting maps, which has an application to the case of Cartier algebras.
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