Generic Constructions and Semidualizing Modules

TL;DR

This paper explores a general framework for understanding semidualizing modules in complex algebraic structures such as ladder determinantal rings, addressing localization issues that emerge in these contexts.

Contribution

It introduces a unified approach for describing semidualizing modules over generic algebraic constructions and investigates related localization questions.

Findings

Developed a general machinery for semidualizing modules

Addressed localization questions in algebraic structures

Applied methods to ladder determinantal rings

Abstract

We investigate some general machinery for describing semidualizing modules over generic constructions like ladder determinantal rings with coefficients in a normal domain. We also pose and investigate natural localization questions that arise in the process.