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Wakamatsu tilting modules with finite FP-injective dimension
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Haiyan Zhu
Veröffentlicht/Copyright:
30. Januar 2009
Abstract
Let R be a left coherent ring, Rω a Wakamatsu tilting module and S = End(Rω) a right coherent ring. It is shown that the FP-injective dimensions of Rω and ωS are identical provided both of them are finite. It is also shown that in this case all finitely presented left R-modules (right S-modules) have special ┴ω-precovers and special (┴ω)┴-preenvelopes.
Received: 2006-11-04
Revised: 2007-06-24
Published Online: 2009-01-30
Published in Print: 2009-January
© de Gruyter 2009
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Artikel in diesem Heft
- Central extensions of rank 2 groups and applications
- Generating abelian groups by addition only
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- K-Theory of non-linear projective toric varieties
- Wakamatsu tilting modules with finite FP-injective dimension
- The catenary and tame degree of numerical monoids
- On extending Prüfer rings in central simple algebras
- Geometry of the cone of positive quadratic forms
Artikel in diesem Heft
- Central extensions of rank 2 groups and applications
- Generating abelian groups by addition only
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- K-Theory of non-linear projective toric varieties
- Wakamatsu tilting modules with finite FP-injective dimension
- The catenary and tame degree of numerical monoids
- On extending Prüfer rings in central simple algebras
- Geometry of the cone of positive quadratic forms
