When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module
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DOI: 10.1016/j.jalgebra.2019.03.031
Abstract: Abstract In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module. Applications go in three directions. The first is to characterize when the… read more here.
Keywords: cotorsion pair; tilting module; kernel complete; pair additive ... See more keywords
Self-orthogonal τ-tilting modules and tilting modules
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DOI: 10.1016/j.jpaa.2021.106860
Abstract: Abstract Let Λ be an Artin algebra and T a τ-tilting Λ-module. We prove that T is a tilting module if and only if Ext Λ i ( T , Fac T ) = 0… read more here.
Keywords: self orthogonal; tilting module; tilting modules; orthogonal tilting ... See more keywords