On the Witt Vectors of Perfect Rings in Positive Characteristic |
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| Authors: | Kazuma Shimomoto |
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| Affiliation: | 1. Department of Mathematics, School of Science and Technology , Meiji Univesity , Kawasaki , Japan shimomotokazuma@gmail.com |
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| Abstract: | The purpose of this article is to prove some results on the Witt vectors of perfect F p -algebras. Let A be a perfect F p -algebra for a prime integer p, and assume that A has the property P. Then does the ring of Witt vectors of A also have P? A main theorem gives an affirmative answer for P = ″integrally closed” under a very mild condition. |
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| Keywords: | Complete integral closure Frobenius map Integrally closed domain Witt vectors |
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