D. Popescu

collaborators

4 papers

math.AC2026

Algebraic valuation ring extensions as limits of complete intersection algebras

Dorin Popescu

We show that an algebraic immediate valuation ring extension of characteristic $p > 0$ is a filtered union of complete intersection algebras of finite type.

math.AC2026

Valuation rings of mixed characteristic as limits of complete intersection rings

Dorin Popescu

We show that a mixed characteristic valuation ring with a value group $I^$ , $\val$ its valuation and a residue field of characteristic $p > 0$ , is a filtered colimit of complete inte…

math.AC2026

Valuation rings as limits of complete intersection rings

Dorin Popescu

We show that a valuation ring containing its residue field of characteristic $p > 0$ is a filtered direct limit of complete intersection $F_{p}$ -algebras.

math.AC2025

Pure transcendental, immediate valuation ring extensions as limits of smooth algebras

Dorin Popescu

We show that a pure transcendental, immediate extension of valuation rings $V \subset V^{'}$ containing a field is a filtered union of smooth $V$ -subalgebras of $V^{'}$ .