Metaideals in Commutative Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: metaideal accessible subring metaidealizer integral domain
• 年，卷（期）: 2005,（1）
• 页码范围: 31-39
• 页数: 9页
• 语种: 英文

摘要

New examples of metaideals in commutative rings are constructed. It is proved that metaideals of a commutative ring form a sublattice of the lattice of all subrings, and for any subring A of a commutative ring P, there exists the largest subring Midp (A)(called metaidealizer) in which A is a metaideal. Metaidealizers in several cases are described.