𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the prime ideal structure of tensor products of algebras

✍ Scribed by Samir Bouchiba; David E. Dobbs; Salah-Eddine Kabbaj

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
226 KB
Volume
176
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is concerned with the prime spectrum of a tensor product of algebras over a ΓΏeld. It seeks necessary and su cient conditions for such a tensor product to have the S-property, strong S-property, and catenarity. Its main results lead to new examples of stably strong S-rings and universally catenarian rings. The work begins by investigating the minimal prime ideal structure. Throughout, several results on polynomial rings are recovered, and numerous examples are provided to illustrate the scope and sharpness of the results.

πŸ“œ SIMILAR VOLUMES

Tensor Products of C*-Algebras with the
Tensor Products of C*-Algebras with the Ideal Property
✍ Cornel Pasnicu; Mikael RΓΈrdam πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 126 KB

Combining a construction of Dadarlat of a unital, simple, non-exact C\*-algebra C of real rank zero and stable rank one, which is shape equivalent to a UHFalgebra, with results of Kirchberg and a result obtained by Dadarlat and the firstnamed author, we show that B(H) C contains an ideal that is not

On ideals of tensor products
On ideals of tensor products
✍ Eric Jespers; Edmund PuczyΕ‚owski πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 387 KB
On the Tensor Product of Composition Alg
On the Tensor Product of Composition Algebras
✍ Patrick J Morandi; JosΓ© M PΓ©rez-Izquierdo; S PumplΓΌn πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 203 KB