On Some n-C2 and Strongly C2 Extensions

• 作者: Farid Kourki Jianlong Chen Wenxi Li
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 545-562
• 页数: 18页
• 语种: 英文
• DOI: 10.1142/S1005386720000450

摘要

Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring (strongly left C2-ring) if every n-generated (finitely generated) proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and strongly C2 extensions,such as trivial extensions,formal triangular matrix rings,group rings and R[D,C].