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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 4; Page(s) 101 To 113.
 
Paper: 

The Arithmetical Rank of k-Complete Ideals

 
 
Author(s):  Dupont Luis Alfredo*, Mendoza Ramirez Daniel Gualtiero, Rodriguez Olivarez Miriam
 
* Department of Mathematics Faculty of Mathematics Universidad Veracruzana Xalapa, Ver., Mexico
 
Abstract: 
We introduce the notions of algebraic and arithmetic derivation. As an application, we use the combinatorial decomposition of an ideal to provide a constructive method to find the algebraic invariants, as the arithmetical rank, for a family of squarefree monomial ideals, the $k$--complete ideals $I_k^n, $ also known as squarefree Veronese ideals of degree $k$.
 
Keyword(s): arithmetical rank,Lyubeznik resolution,monomial ideal,projective dimension
 
References: 
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