Homology Homotopy and Applications · 2002 · 182 citations · 5 references
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.
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Minimal resolutions of some monomial ideals
Shalom Eliahou, Michel Kervaire · Journal of Algebra · 1990 · 474 citations
Linear syzygies of Stanley-Reisner ideals
Victor Reiner, Volkmar Welker · MATHEMATICA SCANDINAVICA · 2001 · 41 citations · Full text