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dc.contributor.author王忠梅
dc.date.accessioned2017-11-14T02:50:35Z
dc.date.available2017-11-14T02:50:35Z
dc.date.issued2006-01-30
dc.identifier.citation厦门大学学报(自然科学版),2006,(01):16-19
dc.identifier.issn0438-0479
dc.identifier.otherXDZK200601002
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154664
dc.description.abstract根据Beilinson A,Bernstein J,Deligne P的结论可知,若三个三角范畴允许有一个Recollement,则Recollement两端三角范畴上的t-结构可以诱导中间三角范畴上的一个t-结构.在这篇文章中讨论了这三个t-结构在非退化性和有界性上的联系.首先证明了两端三角范畴上的t-结构是非退化的当且仅当中间三角范畴上的t-结构是非退化的.其次证明了两端三角范畴上的t-结构是有界的当且仅当中间三角范畴上的t-结构是有界的.最后讨论了Recollement函子的t-正合性.
dc.description.abstractAccording to the conclusion of Beilinson A,Bernstein J,Deligne P,if there is a Recollement about three triangulated categories,the t-structures on the triangulated categories of the both ends of the Recollement can induce a t-structure on the middle one.In this paper,we mainly discuss the relations among three t-structures on nondegeneration and boundedness was discussed.First,it is showed that the t-structures on both ends are nondegenerate if and only if the t-structure on middle is nondegenerate.Second,it is proved that the tstructures on both ends are bounded if and only if the t-structure on middle is bounded.Finelly some t-exact properties of the functors in a Recollement were discussed.
dc.description.sponsorship国家自然科学基金(10371101)资助
dc.language.isozh_CN
dc.subject三角范畴的Recollement
dc.subject三角范畴的t-结构
dc.subject非退化t-结构
dc.subject有界t-结构
dc.subjectRecollement of triangulated category
dc.subjectt-structure of triangulated category
dc.subjectnondegenerate t-structure
dc.subjectbounded t-structure
dc.title由Recollement导出的t-结构的非退化性和有界性
dc.title.alternativeNondegeneration and Boundedness of t-structure Induced by Recollement
dc.typeArticle


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