… of a monomial ideal is again a monomial ideal one has the … In our case the normality of L
is equivalent to the normality of … The aim here is to understand the normality of L. We are able …

… am polynomial ring is again a monomial ideal, see [5 problem of … monomials r, integer i and
monomials such that rl + raira2---ra¿ = 0, see [5]. Geomet integral closure of monomial ideals …

… The aim of this work is to study the normality of these monomial ideals as in the square-free
case. We obtain again a complete classification of the ideals of this class. If the ideal L is not …

… normality criterion which is adequate for monomial ideals (Theorem 4.4). To illustrate the
practical use of this criterion it is shown that ideals … derive that a monomial subring of Veronese …

… monomial ideals. This theorem enables us to introduce a certain class of normal ideals. … ,
we shall point out that if I is a monomial ideal and m is a monomial, then \( m\in \overline{I}\) if …

… ideals which have superficial ideals. In the sequel, we present some examples of monomial
ideals which have superficial ideals… relation between superficiality and normality. Finally, we …

… We prove that a monomial ideal in a polynomial ring in nindeterminates over a field is …
normality of one does not imply the normality of the other, we will no longer refer to the normality of …

… 2, we investigate normality of monomial ideals under some … the normality of a monomial
ideal is equivalent to the normality … ideal of a monomial ideal is normal, then the original ideal is …

… of monomial ideals of well-nearly normally torsion-free type, and show that these ideals are
normal. … Following this, we investigate the normality of monomial ideals within a specific class …

… of the main results of the first author about the normality of one-fibered monomial ideals [2,
Théor`emes 2.4 and 3.8]. Precisely, we show that if I is a monomial ideal of R = k[x1, x2,...,xd], …