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On relative Auslander algebras
- Source :
- Proceedings of the American Mathematical Society
- Publication Year :
- 2020
- Publisher :
- American Mathematical Society (AMS), 2020.
-
Abstract
- Relative Auslander algebras were introduced and studied by Beligiannis. In this paper, we apply intermediate extension functors associated to certain recollements of functor categories to study them. In particular, we study the existence of tilting-cotilting modules over such algebras. As a consequence, it will be shown that two Gorenstein algebras of G-dimension 1 being of finite Cohen-Macaulay type are Morita equivalent if and only if their Cohen-Macaulay Auslander algebras are Morita equivalent.
- Subjects :
- Pure mathematics
Functor
Mathematics::Commutative Algebra
Applied Mathematics
General Mathematics
Mathematics::Rings and Algebras
Extension (predicate logic)
Type (model theory)
Representation theory
16G60, 16G50, 18A25, 18G25, 16S50, 16S90
Mathematics::K-Theory and Homology
If and only if
Mathematics::Category Theory
Morita therapy
FOS: Mathematics
Representation Theory (math.RT)
Mathematics::Representation Theory
Mathematics - Representation Theory
Mathematics
Subjects
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 148
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....f033775b02b5cec2ddefe4346fc15fa0