Answers are grounded in this paper and cite their sources.
Establishes an equivalent characterization of relative tilting pairs in artin algebras, suggesting a unified framework for tilting theory.
Let Λ be an artin algebra. We extend Miyashita's theory of tilting pairs to the setting of relative tilting pairs with respect to an additive subfunctor F of ExtΛ¹(-,~-). Building on Wei's work on Miyashita's ordinary tilting pairs, we establish an equivalent characterization for relative tilting pairs, which provides a unified framework that generalizes several important results in tilting theory, including classical tilting pairs, F-tilting modules, and Gorenstein tilting pairs.
No takes yet. Share an insight, caveat, or question.
Wang et al. (2025) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: