On the Frobenius Power and Colon Ideals

@article{Zhang2009OnTF,
  title={On the Frobenius Power and Colon Ideals},
  author={Wenliang Zhang},
  journal={Communications in Algebra},
  year={2009},
  volume={37},
  pages={2391-2395}
}
In this article we study the commutativity of the Frobenius power and the colon operation of two ideals for Noetherian rings of positive characteristic p. New characterizations of regular rings and local UFDs are given. 
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