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Recollements arising from cotorsion pairs on extriangulated categories
This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated...
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The Torsion Theory and the Melkersson Condition
We consider a generalization of the notion of torsion theory, which is associated with a Serre subcategory over a commutative Noetherian ring. In...
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A Diagram of Galois Connections of Functorial Topologies
A Galois connection between functorial topologies on abelian groups and subclasses of abelian groups is constructed by means of the notion of...
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Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers
This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropic...
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Perverse Coherent t-Structures Through Torsion Theories
Bezrukavnikov, later together with Arinkin, recovered Deligne’s work defining perverse t-structures in the derived category of coherent sheaves on a...
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Homological properties of the perfect and absolute integral closures of Noetherian domains
For a Noetherian local domain R let R + be the absolute integral closure of R and let R ∞ be the perfect closure of R , when R has prime...
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A generalization of Baer’s Lemma
There is a classical result known as Baer’s Lemma that states that an R -module E is injective if it is injective for R . This means that if a map from...
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Approximations of Complete Modules by Complete Big Cohen–Macaulay Modules over a Cohen–Macaulay Local Ring
The Auslander–Buchweitz theory for finitely generated modules over a Cohen–Macaulay local ring is extended to complete modules, finitely generated or...
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Torsion and Ortho-Slender Classes
This paper generalizes a number of results obtained by Dimitrić in (Glas. Mat. 21(41):327–329,
1986 ; Proceedings of Hobart Conference on Rings,... -
