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XED^≤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D^b（A）上有界t-结构的心也是遗传的Abel范畴．

英文摘要：

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 D^b （A） deduced by （T,F） is also hereditary abelian category.