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math.RA2025
Properties of quasi-projective dimension over abelian categories
Hongxing Chen, Xiaohu Chen, Mengge Liu
Quasi-projective dimension was introduced by Gheibi, Jorgensen and Takahashi to generalize the Auslander-Buchsbaum formula and the depth formula in commutative algebra. In this pap…
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…