Tuesday, September 18, 14:00, 7.527

Odysseas Giatagantzidis (Thessaloniki)
Homological aspects of cyclic Nakayama algebras via minimal zero paths

Abstract:
In this talk, we revisit key homological aspects of cyclic Nakayama algebras using a new combinatorial framework based on minimal zero paths. Our approach yields novel characterizations of well-studied properties, including Iwanaga-Gorensteinness, finite global dimension, and quasi-hereditarity, while also recovering previous results. Moreover, we compute the finitistic dimension of any cyclic Nakayama algebra, by determining its parity via the position of minimal zero paths on its quiver.