三角范畴黏合中的遗传双余挠对

Hereditary twin cotorsion pairs in recollements of triangulated categories

设(T',T, T〞)是三角范畴的黏合(recollement),给出了由T'和T〞中的遗传双余挠对黏合得到T中的遗传双余挠对的构造及反过来的构造。

Let(T',T, T〞)be a recollement of triangulated categories.This paper gives a construction of gluing of hereditary twin cotorsion pairs in T with respect to hereditary twin cotorsion pairs in T'and T〞 as well as the converse construction.