The arithmetical rank of a special class of monomial ideals

2010/05/14 by Pietro Mongelli, Mongelli, Pietro
Computer Science · Mathematics · #13A15 (Primary) #13F55 (Secondary) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1005.2586

openalex publication_date 2010/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an affirmative answer to a question due to J. He and A. Van Tuyl, proving that the arithmetical rank of a special monomial ideal equals to the projective dimension of corresponding quotient module.

Related

• On the arithmetical rank of certain monomial ideals
• Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
• Arithmetical rank of strings and cycles
• Arithmetical rank of lexsegment edge ideals
• Arithmetical ranks of Stanley-Reisner ideals via linear algebra