S. Srimathy

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20232026

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math.NT2024

Artin-Schreier-Witt lifts of purely inseparable extensions

S. Srimathy

Given a discrete valued field $K$ of positive characteristic, we study the cyclic lifting problem of purely inseparable extensions of the residue field. We prove that unlike the mi…

math.RA2024

Totally ramified subfields of $p$ -algebras over discrete valued fields with imperfect residue

S. Srimathy

Let $K$ be a complete discrete valued field of characteristic $p$ with residue $k$ which is not necessarily perfect. We prove the Conjecture in \cite{cs} that a $p$ -algebra over $K…

math.RA2024

Totally ramified subfields of $p$ -Algebras

Adam Chapman, S. Srimathy

We conjecture that a $p$ -algebra over a complete discrete valued field $K$ contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyc…

Artin-Schreier-Witt lifts of purely inseparable extensions

Totally ramified subfields of p-algebras over discrete valued fields with imperfect residue

Totally ramified subfields of p-Algebras

Totally ramified subfields of $p$ -algebras over discrete valued fields with imperfect residue

Totally ramified subfields of $p$ -Algebras