Characterization and Newton Complementary Dual of Quasi $f$-Ideals

Abstract

The notion of quasi f -ideals was first presented in [14] which generalize the idea of f -ideals. In this paper, we give the complete characterization of quasi f -ideals of degree greater or equal to 2. Additionally, we show that the property of being quasi f -ideals remain the same after taking the Newton complementary dual of a squarefree monomial ideal I provided that the minimal generating set of I is perfect.