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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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Serre商范畴的Auslander-Reiten序列
DOI: 10.11830/ISSN.1000-5013.2013.03.0356
Keywords: 商范畴, Auslander-Reiten序列, 垂范畴, 有限维k-代数
Abstract:
设A是有限维k-代数,A=A-mod,B是A的有厚度子范畴,通过从A的Auslander-Reiten(AR)序列到导出范畴Db(A)的AR三角的转化,研究A的AR序列与Serre商范畴A/B的AR序列的关系.文中给出A的AR序列在商函子Q∶A→A/B下的像是A/B的AR序列的充要条件.
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