Abstract
In this paper, our main focus is to explore different classes of nearly normally torsion-free ideals. We first characterize all finite simple connected graphs with nearly normally torsion-free cover ideals. Next, we characterize all normally torsion-free t-spread principal Borel ideals that can also be viewed as edge ideals of uniform multipartite hypergraphs.
Acknowledgments
We would like to thank Professor Adam Van Tuyl for his valuable comments in preparation of Theorem 4.9. In addition, the authors are deeply grateful to the referee for careful reading of the manuscript and valuable suggestions which led to significant improvements in the quality of this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).