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math.RT2019
Socle deformations of selfinjective orbit algebras of tilted type
Andrzej Skowroński, Kunio Yamagata
We survey recent development of the study of finite-dimensional selfinjective algebras over a field which are socle equivalent to selfinjective orbit algebras of tilted type.
math.RT2018
Self-injective algebras with hereditary stable slice
Andrzej Skowroński, Kunio Yamagata
We determine the structure of all finite-dimensional self-injective algebras over a field whose Auslander-Reiten quiver admits a hereditary stable slice.
math.RT2017★ 2 cited
Rigidity dimension - a homological dimension measuring resolutions of algebras by algebras of finite global dimension
Hongxing Chen, Ming Fang, Otto Kerner +2
A new homological dimension is introduced to measure the quality of resolutions of `singular' finite dimensional algebras (of infinite global dimension) by `regular' ones (of finit…