| 曹卫青,王东晓,魏加群.IG-内射模和SI-代数[J].数学年刊A辑,2018,39(1):7~14 |
| IG-内射模和SI-代数 |
| IG-Injective Modules and SI-Algebras |
| Received:January 11, 2016 Revised:October 26, 2016 |
| DOI：10.16205/j.cnki.cama.2018.0002 |
| 中文关键词: $IG${-}内射模, $SI${-}代数, $SG${-}内射模, 不可约态射 |
| 英文关键词:$IG$-injective module, $SI$-algebras, $SG${-}injective module, Irreducible map |
| 基金项目:本文受到国家自然科学基金 (No.11771212) 和江苏高校优势学科建设工程项目的资助. |
| Author Name | Affiliation | E-mail | | CAO Weiqing | Institute of Mathematics, School of Mathematics Sciences,
Nanjing Normal University, Nanjing 210023, China. | 18805199750@163.com | | WANG Dongxiao | Institute of Mathematics, School of Mathematics Sciences,
Nanjing Normal University, Nanjing 210023, China. | wdx0822@126.com | | WEI Jiaqun | Institute of Mathematics, School of Mathematics Sciences,
Nanjing Normal University, Nanjing 210023, China. | weijiaqun@njnu.edu.cn |
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| 中文摘要: |
| 研究了$IG${-}内射模和$SI${-}代数, 证明了单$SG${-}内射模均是$IG${-}内射模,
给出了$SI${-}代数详细的分类, 刻画了每个单模都是$SG${-}内射模的代数. |
| 英文摘要: |
| The authors study $IG$-injective modules and $SI$-algebras. It
is proved that simple $SG$-injective modules are all $IG$-injective
modules. The detailed classification of $SI$-algebras is given and algebras such that every simple module is
$SG$-injective are characterized. |
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