3 papers
math.AC2026
(Locally) Associated Subrings in Polynomial and Power Series Extensions
Grant Moles, Joseph Swanson
The associated, ideal-preserving, and locally associated properties of subrings, first formally defined in 2024, give a way of understanding the multiplicative structure of a subri…
math.AC2025
Locally Associated Orders in Real Quadratic Number Fields
Grant Moles, Talha Khan
In 2025, the concept of an order in a number field being associated, ideal-preserving, or locally associated was introduced in order to tackle problems in factorization. In this pa…
math.AC2025
Multiplicative Relationships of Subrings and their Applications to Factorization
Grant Moles
When studying the properties of a ring , it is often useful to compare to other rings whose properties are already known. In this paper, we define three ways in which a subr…