Ideals and their structure in classes of operational algebras
β Scribed by Alfred L. Foster
- Publisher
- Springer-Verlag
- Year
- 1956
- Tongue
- French
- Weight
- 339 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
## Abstract A general procedure is given to get ideals in algebras of unbounded operators starting with ideals in β¬οΈ(βοΈ). Algebraical and topological properties of ideals obtained in this manner from the wellβknown symmetricallyβnormed ideals S~Ο~(βοΈ) are described.
In a previous paper we exhibited the somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals with reduction number 1. This led to the construction of large families of Cohen-Macaulay Rees algebras. The first goal of this paper is to extend this
## Ideals in algebras of unbounded operators. I1 By W. TIMMERMANN of Leipzig (Eingegangen am 12. 5. 1978) This paper is part I1 of the investigations begun in [4]. There two classes of ideals in algebras of unbounded operators were defined: So(%) and M(S,(9), SF(9)), where @ is a symmetric norming