Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes Dper(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of isomorphism classes of indecomposable injective modules are used in an essential way.

Birkhoff’s variety theorem from universal algebra characterises equational subcategories of varieties. We give an analogue of Birkhoff’s theorem in the setting of enrichment in categories. For a suitable notion of an equational subcategory we characterise these subcategories by their closure properties in the ambient algebraic category.

For a recollement $$(\mathcal {A},\mathcal {B},\mathcal {C})$$ of abelian categories, we show that n-tilting (resp. n-cotilting) subcategories in $$\mathcal {A}$$ and {C}$$ can be glued to get {B}$$ under certain conditions.

For a commutative noetherian ring A, we compare the support of a complex of A-modules with the support of its cohomology. This leads to a classification of all full subcategories of A-modules which are thick (that is, closed under taking kernels, cokernels, and extensions) and closed under taking direct sums.

Given a triple T on a complete category C and a factorization system E /M on the category of algebras, we show there is a 1-1 correspondence between full subcategories of the category of algebras that are closed under U -split epimorphisms, products, and M -subobjects and triple morphisms T S for which the induced natural transformation between free functors belongs to E .

This study aims to examine the effects of 12 weeks physical-cognitive dual-task training on cognition, depression, sleep quality, and quality life in older women (n = 44; 66.20 ± 4.05 years). Of these, 22 were randomly allocated (DT) group, participated activities education control group (CG). Assessments performed at baseline, end intervention, after follow-up using following instruments: Trai...

To determine whether the administration of moxibustion is an effective treatment for knee osteoarthritis (KOA).We conducted a search of relevant articles using Medline, EMBASE, the Web of Science, and the Cochrane Library published before October 2015. The Western Ontario and McMaster Universities' Osteoarthritis Index (WOMAC scale) and the short form 36 questionnaire (SF-36 scale) were assesse...

let $r$ be a commutative noetherian ring with non-zero identity, $fa$ an ideal of $r$, and $x$ an $r$--module. here, for fixed integers $s, t$ and a finite $fa$--torsion $r$--module $n$, we first study the membership of $ext^{s+t}_{r}(n, x)$ and $ext^{s}_{r}(n, h^{t}_{fa}(x))$ in the serre subcategories of the category of $r$--modules. then, we present some conditions which ensure the exi...