Khrystyna Serhiyenko

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math.RT2026

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

Ralf Schiffler, Khrystyna Serhiyenko

We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…

math.RT2025

Classical tilting and $I ¨ $ -tilting theory via duplicated algebras

Jonah Berggren, Khrystyna Serhiyenko

$I ¨ $ -tilting theory can be thought of as a generalization of the classical tilting theory which allows mutations at any indecomposable summand of a support $I ¨ $ -tilting pair. Indee…

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

Classical tilting and I¨-tilting theory via duplicated algebras

Classical tilting and $I ¨ $ -tilting theory via duplicated algebras