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math.RT2025
Virtually Gorenstein algebras of infinite dominant dimension
Hongxing Chen, Changchang Xi
Motivated by understanding the Nakayama conjecture which states that algebras of infinite dominant dimension should be self-injective, we study self-orthogonal modules with virtual…
math.RT2022
Homological theory of orthogonal modules
Hongxing Chen, Changchang Xi
Tachikawa's second conjecture predicts that a finitely generated, orthogonal module over a finite-dimensional self-injective algebra is projective. This conjecture is an important…