Affine semigroups are finitely generated submonoids of Euclidean space that naturally arise in algebraic geometry and commutative algebra, while monomial curves are defined by parametrisations whose ...

Let S = 𝕂[x₁,...,xn] be the polynomial ring over a field 𝕂 In this paper we present a criterion for componentwise linearity of powers of monomial ideals. In particular, we prove that if a ...

The aim of this paper is to study the Stanley depth of symbolic powers of a squarefree monomial ideal. We prove that for every squarefree monomial ideal I and every pair of integers k, s ≥ 1, the ...