[1] N. Bourbaki, Elements of Mathematics, Commutative Algebra, Translated from the French, Hermann, Paris, 1972.
[2] W. Bruns and J. Herzog, Cohen-Macaulay rings, Cambridge University Press, 1993.
[3] H. Dichi, Integral dependence over a filtration, J. Pure Appl. Algebra, 58 (1989), 7-18.
[4] H. Dichi, Integral closure of a filtration relative to a module, Comm. Algebra, (8) 23 (1995), 3145-3153.
[5] H. Matsumura, Commutative Ring Theory, Cambridge University Press, 1980.
[6] D. G. Northcott, Lessons on Rings, Modules and Multiplicities, Cambridge University Press, 1968.
[7] D. G. Northcott and D. Rees, Reductions of ideals in local rings, Math. Proc. Cambridge Philos. Soc., (2) 50 (1954), 145-158.
[8] J. S. Okon and L. J. Ratliff, Reductions of filtrations, Pacific J. Math., (1) 144 (1990), 137-154.
[9] R. Y. Sharp, Y. Tiraş and M. Yassi, Integral closures of ideals relative to local cohomology modules over quasi-unmixed local rings, J. Lond. Math. Soc., (2) 42 (1990), 385-392.
[10] Y. Tiraş, Integral closures of ideals in the Rees ring, Colloq. Math., (2) 64 (1993), 185-191.
)