On Finite Presentability of Bruck-Reilly Extensions of a Monoid with Respect to an Endomorphism and Its Powers

• 来源期刊: 代数集刊(英文版)
• 关键词: monoid morphism presentation generators
• 年，卷（期）: 2007,（3）
• 页码范围: 389-402
• 页数: 14页
• 语种: 英文

摘要

Let M be a monoid and let (0) be an endomorphism of M.We prove that if the Bruck-Reilly extension BR(M,(0)) is finitely presented,then the Bruck-Reilly extensionBR(M,(0)m) is also finitely presented for all m≥ 1.