New Classes of Set-theoretic Complete Intersection Monomial Ideals

DOI10.1080/00927872.2014.934462zbMath1360.13054OpenAlexW1792444572MaRDI QIDQ3448268

M. R. Pournaki, Siamak Yassemi, Seyed Amin Seyed Fakhari

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.716.2578

zbMATH Keywords

simplicial complexarithmetical rankLyubeznik resolutions-coloringset-theoretic complete intersection ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (1)

On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height

Cites Work

• On the arithmetical rank of monomial ideals
• A new explicit finite free resolution of ideals generated by monomials in an R-sequence
• The arithmetical rank of the edge ideals of graphs with whiskers
• ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Lyubeznik resolutions and the arithmetical rank of monomial ideals
• Monomial Ideals
• On the Arithmetical Rank of the Edge Ideals of Forests

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