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Preprint Number 29
29. Grigory Garkusha and Mike Prest Torsion classes of finite type and spectra Email: Submission date: Abstract: Given a commutative ring R (respectively a positively graded commutative ring A which is finitely generated over its 0component), a bijection is established between the finite type torsion classes of Rmodules (respectively tensor torsion classes of finite type in QGr A) and the set of all subsets of spec R (respectivelyof Proj A) which are unions of complements of quasicompact open subsets. Using these bijections, isomorphisms of related ringed spaces are constructed. Also, a bijective correspondence between the thick subcategories of perfect complexes of Rmodules and the finite type torsion classes of Rmodules is established. Mathematics Subject Classification: 03 16 18 Keywords and phrases: affine scheme, projective scheme, commutative ring, graded ring, torsion class, finite type, spectrum, thick subcategory. Full text: pdf.

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