A Note on the Universal Factorization Property of Groups

IF 0.4 4区数学 Q4 MATHEMATICS Algebra Colloquium Pub Date : 2021-11-08 DOI:10.1142/s1005386721000493

Injo Hur, J. Jo

引用次数: 0

Abstract

We give criteria when a full subcategory [Formula: see text] of the category of groups has [Formula: see text]-universal factorization property ([Formula: see text]-UFP) or [Formula: see text]-strong universal factorization property ([Formula: see text]-SUFP) for a certain category of groups [Formula: see text]. 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].

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关于群的全称分解性质的注记

当群范畴的一个完整子范畴[公式:见文]具有[公式:见文]-全称分解性质([公式:见文]-UFP)或[公式:见文]-强全称分解性质([公式:见文]-SUFP)时，我们给出准则。作为副产品，我们对[S.W.]中三个悬而未决的问题给出了肯定的答案李家彬，李家彬，一类多环基团的普适分解性质，[j]。代数204(2006)555-567]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.

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