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Extension dimensions: derived equivalences and stable equivalences

Extension dimensions: derived equivalences and stable equivalences

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2724073129

Extension dimensions: derived equivalences and stable equivalences

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Full title

Extension dimensions: derived equivalences and stable equivalences

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Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2022-10

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Subjects and topics

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Scope and Contents

Contents

We show that the difference of the extension dimensions of two derived equivalent algebras is bounded above by the minimal length of a tilting complex associated with a derived equivalence, and that the extension dimension is an invariant under the stable equivalence. In addition, we provide two sufficient conditions such that the extension dimensi...

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Full title

Extension dimensions: derived equivalences and stable equivalences

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Record Identifier

TN_cdi_proquest_journals_2724073129

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2724073129

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E-ISSN

2331-8422

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