New Classes of Set-theoretic Complete Intersection Monomial Ideals

REFERENCES

• Barile , M. ( 2008 ). On the arithmetical rank of the edge ideals of forests . Comm. Algebra 36 ( 12 ): 4678 – 4703 .
   Web of Science ®Google Scholar
• Barile , M. , Kiani , D. , Mohammadi , F. , Yassemi , S. ( 2012 ). Arithmetical rank of the cyclic and bicyclic graphs . J. Algebra Appl. 11 ( 2 ): 1250039, 14 pp .
   Web of Science ®Google Scholar
• Biermann , J. , Van Tuyl , A. ( 2013 ). Balanced vertex decomposable simplicial complexes and their h-vectors . Electron. J. Combin. 20 ( 3 ): Paper 15, 12 pp .
   Web of Science ®Google Scholar
• Cook , D. , Nagel , U. ( 2012 ). Cohen–Macaulay graphs and face vectors of flag complexes . SIAM J. Discrete Math. 26 ( 1 ): 89 – 101 .
   Web of Science ®Google Scholar
• Herzog , J. , Hibi , T. ( 2011 ). Monomial Ideals . London : Springer-Verlag .
   Google Scholar
• Kimura , K. ( 2009 ). Lyubeznik resolutions and the arithmetical rank of monomial ideals . Proc. Amer. Math. Soc. 137 ( 11 ): 3627 – 3635 .
   Web of Science ®Google Scholar
• Lyubeznik , G. ( 1988 ). A new explicit finite free resolution of ideals generated by monomials in an R-sequence . J. Pure Appl. Algebra 51 ( 1–2 ): 193 – 195 .
   Web of Science ®Google Scholar
• Lyubeznik , G. ( 1988 ). On the arithmetical rank of monomial ideals . J. Algebra 112 ( 1 ): 86 – 89 .
   Web of Science ®Google Scholar
• Macchia , A. ( 2015 ). The arithmetical rank of the edge ideals of graphs with whiskers . Beitr. Algebra Geom. 56 ( 1 ): 147 – 158 .
   Google Scholar
• Communicated by G. Leuschke.
   Google Scholar