2025/02/10 by Chau, Trung · 1 citation
#05C65 #05C75 #05E40 #13D02 (Primary) #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2502.06182
We prove that monomial ideals with at most five generators and their Artinian reductions have minimal generalized Barile-Macchia resolutions. As a corollary, these ideals have minimal cellular resolutions, extending a result by Faridi, D.G, Ghorbanic, and Pour. This corollary is independently obtained by Montaner, García, and Mafi, using a different class of cellular resolutions called pruned resolutions.