On relative Auslander algebras
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- by Javad Asadollahi and Rasool Hafezi PDF
- Proc. Amer. Math. Soc. 148 (2020), 2379-2396 Request permission
Abstract:
In this paper, we apply intermediate extension functors associated to certain recollements of functor categories to study relative Auslander algebras. In particular, we study the existence of tilting-cotilting modules over such algebras. Some applications will be provided. In particular, it will be shown that two Gorenstein algebras of G-dimension one that are of finite Cohen-Macaulay-type are Morita equivalent if and only if their Cohen-Macaulay Auslander algebras are Morita equivalent.References
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Additional Information
- Javad Asadollahi
- Affiliation: Department of Mathematics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran; and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
- MR Author ID: 55173
- ORCID: 0000-0002-7330-2558
- Email: asaddollahi@sci.ui.ac.ir, asadollahi@ipm.ir
- Rasool Hafezi
- Affiliation: School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
- Email: hafezi@ipm.ir
- Received by editor(s): March 5, 2018
- Received by editor(s) in revised form: October 14, 2019
- Published electronically: February 4, 2020
- Additional Notes: This work was partially supported by a grant from the Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
- Communicated by: Jerzy Weyman
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 2379-2396
- MSC (2010): Primary 16G60, 16G50, 18A25, 18G25, 16S50, 16S90
- DOI: https://doi.org/10.1090/proc/14976
- MathSciNet review: 4080882