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Abstract: We study the homotopy category of unbounded complexes with bounded homologiesand its quotient category by the homotopy category of bounded complexes. Weshow the existence of a recollement of the above quotient category and it hasthe homotopy category of acyclic complxes as a triangulated subcategory. In thecase of the homotopy category of finitely generated projective modules over anIwanaga-Gorenstein ring, we show that the above quotient category are triangleequivalent to the stable module category of Cohen-Macaulay$\opn{T} 2R$-modules.



Autor: Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi

Fuente: https://arxiv.org/







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