Periodic flat modules, and flat modules for finite groups.

DOI10.2140/pjm.2000.196.45zbMath1073.20500OpenAlexW2105704227WikidataQ105419707 ScholiaQ105419707MaRDI QIDQ5930543

David John Benson, Kenneth R. Goodearl

Publication date: 19 April 2001

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2000.196.45

zbMATH Keywords

finite groupsprojective modulesflat modulesgroup ringsshort exact sequencesstrongly graded rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (28)

On Groups with Periodic Relative Cohomology ⋮ Profinite groups, profinite completions and a conjecture of Moore. ⋮ A Criterion for Projective Modules ⋮ On the Torsion Units of Some Integral Group Rings ⋮ On pure acyclic complexes. ⋮ Unnamed Item ⋮ Homological independence of infinite syzygies ⋮ Totally acyclic complexes ⋮ Some examples in Gorenstein multiplicative ideal theory ⋮ Pure-minimal chain complexes ⋮ fp-projective periodicity ⋮ Periodic modules and acyclic complexes ⋮ Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore. ⋮ New results related to a conjecture of Moore. ⋮ Cohomology theories based on flats ⋮ Recollements from cotorsion pairs ⋮ On certain homological invariants of groups. ⋮ The direct limit closure of perfect complexes ⋮ Neeman's characterization of \(K\)(R-proj) via Bousfield localization ⋮ Flat complexes, pure periodicity and pure acyclic complexes ⋮ PERIODIC SHORT EXACT SEQUENCES AND PERIODIC PURE-EXACT SEQUENCES ⋮ Test sets for factorization properties of modules ⋮ Weak dimensions and Gorenstein weak dimensions of group rings ⋮ A GENERALIZATION OF STRONGLY GORENSTEIN PROJECTIVE MODULES ⋮ Gorenstein Global Dimensions and Cotorsion Dimension of Rings ⋮ On the vanishing of Selmer groups for elliptic curves over ring class fields ⋮ QUILLEN EQUIVALENT MODELS FOR THE DERIVED CATEGORY OF FLATS AND THE RESOLUTION PROPERTY ⋮ New model structures and projective (injective) cotorsion pairs

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