Results 271 to 280 of about 21,122 (292)
Decomposition of torsion pairs on module categories
Journal of Algebra, 2013 In this article, we generalize the concept of torsion pairs and study its structure. As a trial of obtaining all torsion pairs, we decompose torsion pairs by projective modules and injective modules. Then we calculate torsion pairs on the algebra KAn and tub categories.
Pu Zhang
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Torsion Pairs in Triangulated Categories
Advances in Pure Mathematics, 2013 We study the properties of torsion pairs in triangulated category by introducing the notions of d-Ext-projectivity and d-Ext-injectivity. In terms of -mutation of torsion pairs, we investigate the properties of torsion pairs in triangulated category under some conditions on subcategories and in .
Hailou Yao
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General heart construction for twin torsion pairs on triangulated categories
Journal of Algebra, 2013 In our previous article, we constructed an abelian category from any torsion pair on a triangulated category. This generalizes the heart of a t-structure and the ideal quotient by a cluster tilting subcategory.
Hiroyuki Nakaoka
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Torsion pairs in cluster tubes [PDF]
Journal of Algebraic Combinatorics, 2013 19 ...
Thorsten Holm +2 more
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Torsion Pairs in Categories of Modules over a Preadditive Category [PDF]
Bulletin of the Iranian Mathematical Society, 2020 It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection with certain filters of ideals of the base ring, called Gabriel filters or Gabriel topologies. A result of Jans shows that this bijection restricts to a correspondence between (Gabriel filters that are uniquely determined by) idempotent ideals and TTF ...
CARLOS E PARRA +2 more
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Torsion Pairs in Stable Categories
Communications in Algebra, 2015Let 𝒞 be a triangulated category. When ω is a functorially finite subcategory of 𝒞, Jotrgensen showed that the stable category 𝒞/ω is a pretriangulated category. A pair (𝒳, 𝒴) of subcategories of 𝒞 with ω ⊆ 𝒳 ∩ 𝒴 gives rise to a pair (𝒳/ω, 𝒴/ω) of subcategories of 𝒞/
Panyue Zhou, Jinde Xu, Baiyu Ouyang
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Journal of Pure and Applied Algebra, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Congenital Torsion of the Penis in Father-Son Pairs
Journal of Urology, 1977Congenital torsion of the penis was observed in 5 newborns, 3 of whom had fathers with torsion of the penis. We believe that this common benign condition may be transmitted as an autosomal dominant trait.
C L, Paxson +3 more
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Cofiniteness of torsion functors of a pair of cofinite modules
Communications in Algebra, 2021Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Tor i R ( N , M ) are I-cofinite for all i ≥ 0 if M and N are I-cofinite R-modules and N is of dimension at most...
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Splitting torsion pairs over pure semisimple rings
Journal of Pure and Applied Algebra, 2015Let \(R\) be a left pure semisimple ring and \((\mathcal{D,C})\) a splitting torsion pair of the family \(R\)-ind of indecomposable left \(R\)-modules, i.e., a partition of \(R\)-ind such that \(\Hom_R(D,C)=0\) whenever \(D\in\mathcal D\) and \(C\in\mathcal C\).
Nguyen Viet Dung, García, José Luis
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