三角范畴的有界t-结构与遗传Abel范畴

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	三角范畴的有界t-结构与遗传Abel范畴
	刘宏锦 ; 陈娟
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=xdzk200803002&dbcode=CJFQ&dbname=CJFQ2008
	2012-06-05 ; 2012-06-05
关键词	有界t-结构心遗传 bounded t-structure heart hereditary O154.1
其他题名	The Bounded t-Structure of Triangulated Categories and Hereditary Abelian Categories
中文摘要	研究三角范畴有界t-结构的心.证明了对于给定的三角范畴D的有界t-结构(D≤0,D≥0),如果对于D中任意的一个不可分解对象X,满足X∈D≤0,或者X∈D≥1,则此t-结构的心是遗传的.进一步地,得到了由遗传Abel范畴A的可裂挠对(T,F)导出的Db(A)上有界t-结构的心也是遗传的Abel范畴.; The t-structure of triangulated categories is the promotion of the torsion theory of abelian categories on the triangulated categories,which plays an important role in the study of the algebraic geometry.The heart of the bounded t-structure of triangulated categories is studied in this paper.It is proved that any given bounded t-stucture(D≤0,D≥0) on D satisfies that X∈D≤0,or X∈D≥1,for any indecomposable object X in D.Then the heart of the certain t-structure is hereditary.Moreover,if(T,F) is the splited torsion theory of the hereditary abelian category A,then the heart of the bounded t-structure on the bounded derived category Db(A) deduced by(T,F) is also hereditary abelian category.; 【作者单位】厦门大学数学科学学院；集美大学理学院福建厦门361005；福建厦门361021；【作者英文名】LIU Hong-jin1,CHEN Juan2*(1.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China;2.College of Science,Jimei University,Xiamen 361021,China)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/16095]
专题	集美大学
推荐引用方式 GB/T 7714	刘宏锦,陈娟. 三角范畴的有界t-结构与遗传Abel范畴[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=xdzk200803002&dbcode=CJFQ&dbname=CJFQ2008,2012, 2012.
APA	刘宏锦,&陈娟.(2012).三角范畴的有界t-结构与遗传Abel范畴.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=xdzk200803002&dbcode=CJFQ&dbname=CJFQ2008.
MLA	刘宏锦,et al."三角范畴的有界t-结构与遗传Abel范畴".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=xdzk200803002&dbcode=CJFQ&dbname=CJFQ2008 (2012).