Study of subcategories of triangulated categories and derived equivalences of algebras

利用有界复形的同伦范畴研究了具有有界同调的无界复形的同伦范畴及其商范畴。在Iwanaga-Gorenstein环上的商生成投射模的同伦范畴中，我们证明了在上述商范畴中存在一个三角形。作为应用，我们证明了该商范畴与Cohen-Macaulay T_2（R）-模的稳定模范畴是三角等价的.

We study the homotopy category of unbounded complexes with bounded homologies and its quotient category by the homotopy category of bounded complexes. In the case of the homotopy category of finitely generated projective modules over an Iwanaga-Gorenstein ring, we show the existence of a triangle of recollements in the above quotient category. As an application, we show that this quotient category is triangle equivalent to the stable module category of Cohen-Macaulay T_2(R)-modules.