Generalized Iterated Maximal Essential Extensions of Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: metaideal accessible subring essential subring integral domain
• 年，卷（期）: 2003,（1）
• 页码范围: 109-120
• 页数: 12页
• 语种: 英文

摘要

A necessary and sufficient condition for the existence of GIME(A),the generalized iterated maximal essential extension of an associative ring A,is obtained provided that A is commutative. Some properties of GIME(A) are described, in particular, when A is semiprime or commutative. An example of a prime ring A having no GIME(A) is constructed.