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Extension dimensions under singular equivalences and recollements
Published 13 Feb 2025 in math.RT and math.RA | (2502.09009v1)
Abstract: The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dimensions linked by recollements of derived module categories and singular equivalences of Morita type with level, and establish a series of new inequalities and relationships among their extension dimensions.
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