Resolutions by mapping cones

Jürgen Herzog; Yukihide Takayama

doi:hha/1139852466

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Home > Journals > Homology Homotopy Appl. > Volume 4 > Issue 2 > Article

2002 Resolutions by mapping cones

Jürgen Herzog, Yukihide Takayama

Homology Homotopy Appl. 4(2): 277-294 (2002).

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Abstract

Resolutions that arise as iterated mapping cones are considered. Explicit resolutions are given for monomial ideals with linear quotients which admit decomposition functions, and it is studied under which conditions a mapping cone admits a DG algebra structure.