Recollement of Homotopy Categories and Cohen-Macaulay Modules (Representation Theory of Finite Groups and Algebras, and Related Topics)
Recollement of Homotopy Categories and Cohen-Macaulay Modules (Representation Theory of Finite Groups and Algebras, and Related Topics)
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DOI：
10.1017/is011003007jkt143
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发表时间：
2009-11
影响因子：
2.4
通讯作者：
O. Iyama;Kiriko Kato;Jun-ichi Miyachi
中科院分区：
文献类型：
--
作者：
O. Iyama;Kiriko Kato;Jun-ichi Miyachi
We study the homotopy category of unbounded complexes with bounded homologies and its quotient category by the homotopy category of bounded complexes. We show the existence of a recollement of the above quotient category and it has the homotopy category of acyclic complxes as a triangulated subcategory. In the case of the homotopy category of finitely generated projective modules over an Iwanaga-Gorenstein ring, we show that the above quotient category are triangle equivalent to the stable module category of Cohen-Macaulay $\opn{T}_2(R)$-modules.
