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Volume 2 Issue 1 (2019), Pages [1] - [47]

STANLEY COHEN-MACAULAY MODULES

[1] W. Bruns and J. Herzog, Cohen-Macaulay Rings, Revised Edition, Cambridge, 1996.

 

[2] J. Herzog, M. Vladoiu and X. Zheng, How to compute the Stanley depth of a monomial ideal, Journal of Algebra 322(9) (2009), 3151-3169.

 

DOI: https://doi.org/10.1016/j.jalgebra.2008.01.006

 

[3] K. Kimura, Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two, Journal of Commutative Algebra 3(1) (2011), 31-46.

 

DOI: https://doi.org/10.1216/JCA-2011-3-1-31

 

[4] S. Nasir, Stanley decompositions and localization, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 51(99)-2 (2008), 151-158.

 

[5] R. P. Stanley, Linear Diophantine equations and local cohomology, Inventiones Mathematicae 68(2) (1982), 175-193.

 

DOI: https://doi.org/10.1007/BF01394054

 

[6] A. Rauf, Stanley Decomposition of Multigraded Modules and Reductions Modulo Regular Elements, PhD Thesis.

 

[7] R. H. Villarreal, Monomial Algebras, Marcel Dekker, 2001.