3 papers
math.AC2026
Change-of-Rings Theorems for the Small Finitistic Dimension
Tao Xiong, Younes El Haddaoui, Hwankoo Kim +1
In this paper, we study the small finitistic dimension of a commutative ring from the viewpoint of finitistic flat homological algebra. Using the class of modules admittin…
math.AC2026
Relative Faithful Exact Functors and Their Applications to Homological Modules
Xiaolei Zhang, Lei Qiao, Hwankoo Kim
The notions of faithfully projective, faithfully flat, and faithfully injective modules--defined as modules for which the three classical homological functors are both faithful and…
math.AC2026
On Long-Term Problems in Multiplicative Ideal Theory and Factorization Theory
Alfred Geroldinger, Hwankoo Kim, K. Alan Loper
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.