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  1. ; ; (, Advances in Mathematics)
    Full Text Available 
  2. ; (, Proceedings of the American Mathematical Society)
    Suppose R R is a F F -finite and F F -pure Q \mathbb {Q} -Gorenstein local ring of prime characteristic p > 0 p>0 . We show that an ideal I ⊆<#comment/> R I\subseteq R is uniformly compatible ideal (with all p −<#comment/> e p^{-e} -linear maps) if and only if exists a module finite ring map R →<#comment/> S R\to S such that the ideal I I is the sum of images of all R R -linear maps S →<#comment/> R S\to R . In other words, the set of uniformly compatible ideals is exactly the set of trace ideals of finite ring maps. 
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  3. (, Journal of algebra)
    Accepted Manuscript Full Text Available
  4. (, Journal of algebra)
    Accepted Manuscript Full Text Available