We characterize a ring over which every left module of finite length has an injective hull of finite length. Using this, we show that finite normalizing extensions of such a ring also have the same property. We also consider rings having the property that the injective hull of every simple module is
Simple injective subfactors
β Scribed by Roberto Longo
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 993 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let N be an irreducible subfactor of a type II 1 factor M. If the Jones index [M : N] is finite, then the set Lat(N/M) of the intermediate subfactors for the inclusion N/M forms a finite lattice. The commuting and co-commuting square conditions for intermediate subfactors are related to the modular
We classify, up to outer conjugacy, free actions of Z on an inclusion of hyperfinite type II 1 factors of finite index, of finite depth, and for which the principal graph is one of the following: A n , n 2, E 6 , E 8 , or a finite group. As a consequence, we obtain the classification of hyperfinite
Ocneanu has obtained a certain type of quantized Galois correspondence for the Jones subfactors of type A n and his arguments are quite general. By making use of them in a more general context, we define a notion of a subequivalent paragroup and establish a bijective correspondence between generaliz