New posts in Valuation Theory

Classical number theoretic applications of the $p$-adic numbers

Can we define a derivative on the $p$-adic numbers?

Completeness in Krasner's Lemma

On $A$ algebra homomorphisms $A[[X_1,...,X_n]]\to Q(A)$, where $A$ is a complete DVR

Applications of valuation rings

Does every non-Archimedean absolute value satisfy the ultrametric inequality?

Extension of $|\cdot|_\infty$ on $\mathbb R$ to $\mathbb C$

Uncertain about Uniformizing Elements of Elliptic Curves.

Examples of Non-Noetherian Valuation Rings

Ring of integers in a field of fractions