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  Auslander's Formula for contravariantly finite subcategories

Asadollahi, J., Hafezi, R., & Keshavarz, M. H. (2021). Auslander's Formula for contravariantly finite subcategories. Journal of the Mathematical Society of Japan, 73(2), 329-349. doi:10.2969/jmsj/83308330.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-F4BE-F Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F5F0-F
Genre: Journal Article

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 Creators:
Asadollahi, Javad1, Author           
Hafezi, Rasool, Author
Keshavarz, Mohammad H., Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory
 Abstract: A relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Dual version will be treated. Several examples and applications will be provided. In particular, we show that under
certain circumstances, if relative Auslander algebras of artin algebras
$\Lambda$ and $\Lambda'$ are Morita equivalent, then $\Lambda$ and $\Lambda'$
are also Morita equivalent.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1701.00073
DOI: 10.2969/jmsj/83308330
 Degree: -

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Title: Journal of the Mathematical Society of Japan
  Abbreviation : J. Math. Soc. Japan
Source Genre: Journal
 Creator(s):
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Publ. Info: Mathematical Society of Japan
Pages: - Volume / Issue: 73 (2) Sequence Number: - Start / End Page: 329 - 349 Identifier: -