References

ASYMPTOTIC COMPLETION OF A MODULE WITH RESPECT TO A FILTRATION


[1] P. Ayegnon and Daouda Sangare, Generalized Samuel numbers and AP-filtrations, Journal of Pure and Applied Algebra 65 (1990), 1-13, North-Holland.

[2] P. Ayegnon and H. Dichi, Extensions aux filtrations des nombres de Samuel associés aux idéaux, Communication in Algebra 22(9) (1994), 3249-3263.

[3] David E. Rush, Asymptotic primes and integral closure in modules, Quart J. Math. Oxford Ser. (2) 43(4) (1992), 477-499.

[4] M. Lejeune and B. Teissier, Clôture intégrale des idéaux et équisingularité, Séminaire Centre de Mathématique Ecole Polytechnique, 1974.

[5] G. Naudé and C. Naudé, Asymptotic completion of a module with respect to certain ideal, Comm. Algebra 24(5) (1996), 1549-1564.

[6] J. W. Petro, Some Results in the Theory in Pseudo-Valuations, Ph. D. Dissertation, State University of Iowa, Iowa City, Iowa, 1961.

[7] P. Samuel, Some asymptotic properties of powers of ideals, Ann. of Math. 56 (1952), 11-21.

[8] S. Ouattara, E. D. Akeke and P. Ayegnon, Another generalised Samuel number on a semi-ring, JP Journal of Algebra, Number Theory and Applications 19(2) (2010), 185-201.