17 citations · 57 across the 16 of their papers we have counts for
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math.RT2019★ 4 cited
Resolution quiver and cyclic homology criteria for Nakayama algebras
Eric J. Hanson, Kiyoshi Igusa
If a Nakayama algebra is not cyclic, it has finite global dimension. For a cyclic Nakayama algebra, there are many characterizations of when it has finite global dimension. In [She…
math.RT2019★ 6 cited
A counterexample to the -dimension conjecture
Eric J. Hanson, Kiyoshi Igusa
In 2005, the second author and Todorov introduced an upper bound on the finitistic dimension of an Artin algebra, now known as the ϕ-dimension. The ϕ-dimension conjecture states th…
math.RT2019★ 7 cited
Pairwise Compatibility for 2-Simple Minded Collections
Eric J. Hanson, Kiyoshi Igusa
In -tilting theory, it is often difficult to determine when a set of bricks forms a 2-simple minded collection. The aim of this paper is to determine when a set of bricks is con…