Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 29

Preprint Number 29

Previous Next Preprint server

29. Grigory Garkusha and Mike Prest
Torsion classes of finite type and spectra

Submission date:


Given a commutative ring R (respectively a positively graded commutative ring A which is finitely generated over its 0-component), a bijection is established between the finite type torsion classes of R-modules (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 quasi-compact open subsets. Using these bijections, isomorphisms of related ringed spaces are constructed. Also, a bijective correspondence between the thick subcategories of perfect complexes of R-modules and the finite type torsion classes of R-modules 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.

Last updated: December 19 2006 17:00 Please send your corrections to: