Filter-regular sequences, almost complete intersections and Stanley's conjecture

Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan

Let $K$ be a field and $I$ a monomial ideal of the polynomial ring $S=K[x_1,...,x_n]$ generated by monomials $u_1,u_2,...,u_t$. We show that $S/I$ is pretty clean if either: 1) $…