Abstract
In this note, we introduce and investigate the notion of monomial ideals. We give an explicit relation of the
property to a monomial ideal and its polarization. Further, we characterize the
property of the ordinary as well as the symbolic third or more powers of squarefree monomial ideals.
2020 Mathematics Subject Classification:
Acknowledgments
A part of this work was done when S. Yassemi visited MSRI, Berkeley, in April 2022. He wishes to express his gratitude to the MSRI director and staffs for warm hospitality. The authors also would like to thank the referee for careful reading of this note and for the valuable remarks which have contributed to improve its presentation.