Some properties on rings with units satisfying a group identity

研究成果: 雜誌貢獻期刊論文同行評審

12 引文 斯高帕斯(Scopus)

摘要

For convenience, a ring with units satisfying a group identity will be called a GI-ring. We show that GI-rings have the following properties which are also properites of PI-rings. (1) Any GI-ring is Dedekind finite (von Neumann finite). (2) Nilpotent elements of a semiprimitive GI-ring have bounded index. (3) The Kurosh problem has a positive answer for GI-algebras, namely, any algebraic GI-algebra is locally finite. We also study Hartley's problem for algebraic GI-algebras.

原文英語
頁(從 - 到)226-235
頁數10
期刊Journal of Algebra
232
發行號1
DOIs
出版狀態已發佈 - 2000 十月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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