We show that every \(C^{*}\)-algebra with real rank zero has exponential rank \(\leqslant 1+\varepsilon\). Consequently, \(C^{*}\)-algebras with real rank zero have the property weak (FU). We also show that if \(A\) is a \(\sigma\)-unital \(C^{*}\)-algebra with real rank zero, stable rank one, and t
Algebraic Model Theory || Schanuel’s Conjecture and the Decidability of the Real Exponential Field
✍ Scribed by Hart, Bradd T.; Lachlan, Alistair H.; Valeriote, Matthew A.
- Book ID
- 120337678
- Publisher
- Springer Netherlands
- Year
- 1997
- Tongue
- Dutch
- Weight
- 897 KB
- Category
- Article
- ISBN
- 9401589232
No coin nor oath required. For personal study only.
✦ Synopsis
Recent Major Advances In Model Theory Include Connections Between Model Theory And Diophantine And Real Analytic Geometry, Permutation Groups, And Finite Algebras. The Present Book Contains Lectures On Recent Results In Algebraic Model Theory, Covering Topics From The Following Areas: Geometric Model Theory, The Model Theory Of Analytic Structures, Permutation Groups In Model Theory, The Spectra Of Countable Theories, And The Structure Of Finite Algebras. Audience: Graduate Students In Logic And Others Wishing To Keep Abreast Of Current Trends In Model Theory. The Lectures Contain Sufficient Introductory Material To Be Able To Grasp The Recent Results Presented.
📜 SIMILAR VOLUMES
This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's pro