REFERENCES
- Barile , M. ( 2006 ). A note on the edge ideals of Ferrers graphs. Preprint math.AC/0606353 .
- Barile , M. ( 2008 ). On the arithmetical rank of the edge ideals of forests . Comm. Algebra 36 : 4540 – 4556 .
- Barile , M. ( 2009 ). A generalization of a lemma by Schmitt and Vogel . Tokyo J. Math. 32 : 435 – 440 .
- Barile , M. ( 2008 ). Arithmetical ranks of Stanley–Reisner ideals via linear algebra . Comm. Algebra 36 : 4678 – 4703 .
- Bruns , W. , Herzog , J. ( 1993 ). Cohen–Macaulay Rings . Cambridge : Cambridge University Press .
- Diestel , R. ( 2000 ). Graph Theory. , 2nd ed. Berlin/Heidelberg/New York/Tokyo : Springer .
- Fröberg R. ( 1990 ). On Stanley–Reisner rings . Banach Center Publ. 26 ( Part 2 ): 57 – 70 .
- Hochster , M. ( 1977 ). Cohen–Macaulay rings, combinatorics and simplicial complexes . In: McDonald , B. R. , Morris , A. R. , eds. Ring Theory II . New York : Marcel Dekker , pp. 171 – 223 .
- Kimura , K. , Terai , N. , Yoshida , K. ( 2009 ). Arithmetical rank of squarefree monomial ideals of small arithmetic degree . J. Algebraic Combin. 29 : 389 – 404 .
- Lyubeznik , G. ( 1984 ). On the local cohomology modules for ideals 𝒜 generated by monomials in an R-sequence . In: Greco , S. , Strano , R. , eds. Complete Intersections . Lectures Given at the 1st 1983 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Acireale, Italy, June 13–21, 1983 ; Berlin/Heidelberg : Springer , pp. 214 – 220 .
- Matsumura , H. (1986). Commutative Ring Theory . Cambridge : Cambridge University Press.
- Morales , M. ( 2007 ). Simplicial ideals, 2-linear ideals and arithmetical rank. Preprint math.AC/0702668 .
- Terai , N. ( 2001 ). Eisenbud-Goto Inequality for Stanley–Reisner rings . In: Herzog , J. , Restuccia , G. , eds. Geometric and Combinatorial Aspects of Commutative Algebra . Lecture Notes in Pure and Applied Mathematics 217 . New York/Basel : Marcel Dekker , pp. 379 – 391 .
- Communicated by R. Villarreal