On the freeness and projectiveness of Breuil-Kisin module

Absos Ali Shaikh; Mabud Ali Sarkar

On the freeness and projectiveness of Breuil-Kisin module

Number Theory 2020-02-20 v2

Authors: Absos Ali Shaikh , Mabud Ali Sarkar

Abstract

In the work we have considered Breuil-Kisin module over the ring of witt vectors $W(\kappa)$ over the residue field $\kappa$ of characteristic $p$ and a finite flat $\mathbb{Z}_p$ -algebra $R$ . Then considered Breuil-Kisin modules $M$ over the ring $W(\kappa)$ and taking the action of $R$ on $W(\kappa)$ , we get again a Breuil-Kisin module $M$ over the ring $R \otimes_{\mathbb{Z}_p} W(\kappa)$ . We have studied freeness and projectiveness of this module.

Keywords

breuil-kisin module witt vectors finite flat z_p-algebra freeness projectiveness ring of integers

Cite

@article{arxiv.2002.00746,
  title  = {On the freeness and projectiveness of Breuil-Kisin module},
  author = {Absos Ali Shaikh and Mabud Ali Sarkar},
  journal= {arXiv preprint arXiv:2002.00746},
  year   = {2020}
}

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arXiv admin note: submission has been withdrawn by arXiv administrators due to inappropriate overlap with external sources

On the freeness and projectiveness of Breuil-Kisin module

Abstract

Keywords

Cite

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