Ring Constructions and Generation of the Unbounded Derived Module Category
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DOI: 10.1007/s10468-021-10094-2
Abstract: We consider the smallest triangulated subcategory of the unbounded derived module category of a ring that contains the injective modules and is closed under set indexed coproducts. If this subcategory is the entire derived category,… read more here.
Keywords: category; module category; ring constructions; unbounded derived ... See more keywords
From submodule categories to the stable Auslander algebra
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DOI: 10.1016/j.jalgebra.2017.05.012
Abstract: Abstract We construct two functors from the submodule category of a representation-finite self-injective algebra Λ to the module category of the stable Auslander algebra of Λ. These functors factor through the module category of the… read more here.
Keywords: algebra; auslander algebra; stable auslander; module category ... See more keywords
Module category and C2-cofiniteness of affine vertex operator superalgebras
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DOI: 10.1016/j.jalgebra.2021.12.023
Abstract: In this paper, we investigate the Lie algebra structures of weight one subspaces of C2-cofinite vertex operator superalgebras. We also show that for any positive integer k, vertex operator superalgebras Lsl(1|n+1)(k, 0) and Losp(2|2n)(k, 0)… read more here.
Keywords: vertex operator; operator superalgebras; module category; vertex ... See more keywords