Tensor Rings under Field Extensions

✍ Scribed by Vitor de Oliveira Ferreira

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 161 KB
• Volume: 231
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2000.8367

✦ Synopsis

We prove that a finite localization of the tensor ring F X , where F is a finite k Galois or simple purely inseparable extension of k of degree n, gives rise to a ring S such that S m F is isomorphic to a full n = n matrix ring over a free ideal ring. k