Applications of Duality to the Pure-injective Envelope
β Scribed by Ivo Herzog
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 422 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1386-923X
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π SIMILAR VOLUMES
## dedicated to rΓΌdiger gΓΆbel on the occasion of his 60th birthday We give a criterion for the existence of an indecomposable decomposition of pure-injective objects in a locally finitely presented Grothendieck category (Theorem 2.5). As a consequence we get Theorem 3.2, asserting that an associat
We investigate certain pure injective modules over generalised Weyl algebras. We consider pure injective hulls of finite length modules, the elementary duals of these, torsionfree pure injective modules, and the closure in the Ziegler spectrum of the category of finite length modules supported on a
We exhibit explicitly the structure of Banach space on the metric injective envelope of a real Banach space, in a simple and unexpected way. 0 1997 Elsevier Science B.V.
A theorem of the second author is used to strengthen, generalize several results concerning general group divisible dcqigns.