A Note on the Universal Factorization Property of Groups

• 作者: Injo Hur Jang Hyun Jo
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 635-644
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386721000493

摘要

We give criteria when a full subcategory D of the category of groups has C-universal factorization property (C-UFP) or C-strong universal factorization property(C-SUFP) for a certain category of groups C.As a byproduct,we give affirmative answers to three unsettled questions in[S.W.Kim,J.B.Lee,Universal factorization property of certain polycyclic groups,J.Pure Appl.Algebra 204 (2006) 555-567].