2012
DOI: 10.1007/s10468-012-9365-z
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Semi-tilting Modules and Mutation

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Cited by 2 publications
(6 citation statements)
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“…Recall from [8], a module T ∈ A-mod is said to be a semi-tilting module if the following conditions are satisfied:…”
Section: Preliminariesmentioning
confidence: 99%
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“…Recall from [8], a module T ∈ A-mod is said to be a semi-tilting module if the following conditions are satisfied:…”
Section: Preliminariesmentioning
confidence: 99%
“…Recall from [8], the semi-tilting quiver K is defined as follows: The vertices of K are isomorphism classes of basic semi-tilting modules and there is an arrow V → W if W and V are represented by basic semi-tilting modules T and µ X (T ) with X a non-projective indecomposable direct summand of T , respectively.…”
Section: Endomorphism Algebras Of Semi-tilting Modulesmentioning
confidence: 99%
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“…In Section 4, we first give some criteria for computing the Bass injective dimension of modules in term of the vanishing of Ext-functors and some special approximations of modules. Then, motivated by the philosophy of [27], we introduce the notion of semi-tilting bimodules in general case, and prove that R ω S is right semi-tilting if and only if the Bass injective dimension of R R is finite.…”
Section: Introductionmentioning
confidence: 99%