On Finite Rank Operators on Centrally Closed Semiprime Rings

• 作者: J. C. Cabello P. Montiel R. Casas
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: RING SEMIPRIME RING Extended CENTROID MINIMAL IDEMPOTENT
• 年，卷（期）: 2014,（9）
• 页码范围: 499-505
• 页数: 7页
• 分类号: O1

摘要

We prove that the multiplication ring of a centrally closed semiprime ring R has a finite rank operator over the extended centroid C iff R contains an idempotent q such that qRq is finitely generated over C and, for each , there exist and e an idempotent of C such that xz=eq.