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Singular Equivalences Induced by Bimodules and Quadratic Monomial Algebras.
- Source :
- Algebras & Representation Theory; Apr2023, Vol. 26 Issue 2, p609-630, 22p
- Publication Year :
- 2023
-
Abstract
- We investigate the problem when the tensor functor by a bimodule yields a singular equivalence. It turns out that this problem is equivalent to the one when the Hom functor given by the same bimodule induces a triangle equivalence between the homotopy categories of acyclic complexes of injective modules. We give conditions on when a bimodule appears in a pair of bimodules, that defines a singular equivalence with level. We construct an explicit bimodule in a combinatorial manner, which yields a singular equivalence between a quadratic monomial algebra and its associated algebra with radical square zero. Under certain conditions which include the Gorenstein cases, the bimodule does appear in a pair of bimodules defining a singular equivalence with level. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1386923X
- Volume :
- 26
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Algebras & Representation Theory
- Publication Type :
- Academic Journal
- Accession number :
- 162802689
- Full Text :
- https://doi.org/10.1007/s10468-021-10104-3