On the injectivity of Frobenius on $p$-adic period rings

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چکیده

We prove the injectivity of Frobenius endomorphism on $\mathsf {B}_{\operatorname {cris}}$, {B}_{\max }$ and {st}}$.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15646