An Equivalence for Categories of Modules over a Complete Discrete Valuation Domain

A Classification of Modules over Complete Discrete Valuation Rings

Filtered Modules over Discrete Valuation Domains

We consider a uni ed setting for studying local valuated groups and coset-valuated groups, emphasizing the associated ltrations rather than the values of elements. Stable exact sequences, projectives and injectives are identi ed in the encompassing category, and in the category corresponding to coset-valuated groups.

Dual Modules over a Valuation

Interleaved equivalence of categories of persistence modules

We demonstrate that an equivalence of categories using ε-interleavings as a fundamental component exists between the model of persistence modules as graded modules over a polynomial ring and the model of persistence modules as modules over the total order of the real numbers.

An equivalence of two categories of sl(n,C)-modules