On Long-Term Problems in Multiplicative Ideal Theory and Factorization Theory
Commutative Algebra
2026-03-03 v3
Abstract
In this survey article we discuss key open problems which could serve as a guidance for further research directions of multiplicative ideal theory and factorization theory.
Keywords
Cite
@article{arxiv.2502.21020,
title = {On Long-Term Problems in Multiplicative Ideal Theory and Factorization Theory},
author = {Alfred Geroldinger and Hwankoo Kim and K. Alan Loper},
journal= {arXiv preprint arXiv:2502.21020},
year = {2026}
}
Comments
To appear in: The Ideal Theory and Arithmetic of Rings, Monoids, and Semigroups, Contemporary Mathematics 836, 2026