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math.AC2022
Cellular resolutions of monomial ideals and their Artinian reductions
Sara Faridi, Mohammad Farrokhi Derakhshandeh Ghouchan, Roghayyeh Ghorbani +1
The question we address in this paper is: which monomial ideals have minimal cellular resolutions, that is, minimal resolutions obtained from homogenizing the chain maps of CW-comp…
math.CO2022
Fully reducible simple Venn diagrams
Mohammad Farrokhi Derakhshandeh Ghouchan
We generalize Venn diagrams in spaces of arbitrary dimension and study simple Venn diagrams with the reducing property. Three equivalent conditions for a simple Venn diagr…