We produce a procedure for constructing new normal monomial ideals from other ideals that
are assumed to be normal. This enables us to prove that if the cover ideal of a graph G is …

In this paper, we are interested in multigraded affine algebras of complexity 1. One of the
main results gives a description of integrally closed homogeneous ideals in terms of …

We construct ascending chains of ideals in a commutative Noetherian ring R that reach
arbitrary long sequences of equalities, however the chain does not become stationary at that …

The main aim of this work is to study several topics in monomial ideals. Generally, monomial
ideals play a fundamental role in investigating the connection between commutative algebra …

Abstract Let I=\left ⟨ x_ 1^ a_ 1, ..., x_ n^ a_ n\right ⟩ ⊂ R= K x_ 1, ..., x_ n I= x 1 a 1,…,
xnan⊂ R= K x 1,…, xn with a_ 1, ..., a_ na 1,…, an positive integers and K a field, and let J …

Abstract Let\(a_1,..., a_n\) be positive integers and let\(\Delta= NP (a_1,..., a_n)\) be the
Newton polyhedron associated to these integers, that is, the convex hull in\(\mathbb {R}^{n}\) …

Starting from we compute the Groebner basis for the defining ideal, P, of the monomial
curves that correspond to arithmetic sequences, and then give an elegant description of the …