Local multiplications on algebras
β Scribed by Don Hadwin; Jeanne Wald Kerr
- Book ID
- 104152818
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 597 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
β¦ Synopsis
A unital algebra d over a commutative unital ring W is SLIP over W if every W-module endomorphism on d that leaves invariant every left ideal of d is left multiplication by an element of d. In this paper we provide characterizations of the SLIP property for classes of rings.
π SIMILAR VOLUMES
Let S be a locally compact semigroup, let Ο be a weight function on S, and let Ma(S, Ο) be the weighted semigroup algebra of S. Let L β 0 (S; Ma(S, Ο)) be the C \* -algebra of all Ma(S, Ο)-measurable functions g on S such that g/Ο vanishes at infinity. We introduce and study an Arens multiplication
When attempting to find sufficient conditions for a linear mapping to be a derivation, an obvious candidate is the concept of a local derivation. Local derivations on operator algebras have been investigated in recent papers of Kadison (J. Algebra 130 (1990), 494 509) and Larson and Sourour (Proc. S