References
- Ahn , S. H. 1995 . Asymptotic Primes and Asymptotic Grades on Modules . J. Alg. , 174 : 980 – 998 .
- Ansari-Toroghy , H. 1998 . Associated and Coassociated Primes . Comm. Alg. , 26 : 453 – 466 .
- Blancafort , C. 1997 . On Hilbert Functions and Cohomology . J. Alg. , 192 : 439 – 459 .
- Brodmann , M. 1979 . Asymptotic Stability of Ass(M/I n M) . Proc. Amer. Math. Soc. , 192 : 16 – 18 .
- Dechene , L. 1978 . Adjacent Extensions of Rings , Ph.D. Dissertation Riverside : Univ. Calif. .
- Divaani-Azar , K. and Tousi , M. 1999 . Asymptotic Prime Ideals Related to Exact Functors . Comm. Alg. , 27 : 3949 – 3968 .
- Guerrieri , A. and Rossi , M. E. 1998 . On Hilbert Coefficients of Hilbert Functions . J. Alg. , 199 : 40 – 61 .
- Heinzer , W. , Johnston , B. , Lantz , D. and Shah , K. 1993 . “ The Ratliff-Rush Ideals in a Noetherian Ring: A Survey ” . In Methods in Module Theory , Edited by: Abrams , G. , Haefner , J. and Rangaswamy , K. M. 149 – 159 . New York : Marcel Dekker .
- Heinzer , W. , Johnston , B. and Lantz , D. 1993 . The First Coefficient Domains of Reduction Number One . Comm. Alg. , 21 : 3797 – 3827 .
- Huckaba , S. 1998 . On Associated Graded Rings Having Almost Maximal Depth . Comm. Alg. , 26 : 967 – 976 .
- Hoa , Lê Tuân . 1997 . Postulation Numbers of Good Filtration . Comm. Alg. , 25 : 1961 – 1974 .
- Liu , Jung-Chen . 1998 . Ratliff-Rush Closures and Coefficient Ideals . J. Alg. , 201 : 584 – 603 .
- Melkersson , L. 1992 . Asymptotic Attached Prime Ideals Related to Injective Modules . Comm. Alg. , 20 : 583 – 590 .
- Mirbagheri , A. , Ratliff , L. J. Jr. and Rush , D. E. 1991 . Note on Divisorial Sets of Elements for Sets of Ideals . Comm. Alg. , 19 : 223 – 248 .
- Nagata , M. 1962 . Local Rings , New York, NY : Interscience . (Tracts in Math., No. 13)
- Naude , G. 1997 . Asymptotic Behavior of Attached Primes . Comm. Alg. , 25 : 3255 – 3266 .
- Northcott , D. G. and Rees , D. 1954 . Reductions of Ideals in Local Rings . Math. Proc. Cambridge Philos. Soc. , 50 : 145 – 158 .
- Ratliff , L. J. Jr. 1972 . On Prime Divisors of the Integral Closure of a Principal Ideal . J. Reine Angew. Math. , 255 : 210 – 220 .
- Ratliff , L. J. Jr. 1976 . On Prime Divisors of I n, n Large . Mich. Math. J. , 23 : 337 – 352 .
- Ratliff , L. J. Jr. 1984 . On Asymptotic Prime Divisors . Pacific J. Math. , 111 : 395 – 413 .
- Ratliff , L. J. Jr. 1989 . Δ-Closures of Ideals and Rings . Trans. Amer. Math. Soc. , 313 : 221 – 247 .
- Ratliff , L. J. Jr. and Rush , D. E. 1977 . Notes on Ideal Covers and Associated Primes . Pacific J. Math. , 73 : 169 – 191 .
- Ratliff , L. J. Jr. and Rush , D. E. 1978 . Two Notes on Reductions of Ideals . Indiana Univ. Math. J. , 27 : 929 – 934 .
- Ratliff , L. J. Jr. and Rush , D. E. 1993 . Δ Reductions of Modules . Comm. Algebra , 21 : 2667 – 2685 .
- Rossi , M. E. and Valla , G. 2000 . Cohen-Macaulay Local Rings of Embedding Dimension e + d − 3 . Proc. London Math. Soc. , 80 : 107 – 126 .
- Rush , D. E. 1992 . Asymptotic Primes and Integral Closure in Modules . Quart. J. Math. Oxford , 43 : 477 – 499 .
- Shah , K. 1991 . Coefficient Ideals . Trans. Amer. Math. Soc. , 327 : 373 – 384 .
- Sharp , R. Y. 1986 . Asymptotic Behaviour of Certain Sets of Attached Prime Ideals . J. London Math. Soc. , 34 : 212 – 218 .
- Sharp , R. Y. 1992 . Asymptotic Behaviour of Integral Closures of Ideals Relative to Artinian Modules . J. Alg. , 153 : 262 – 269 .
- Yassemi , S. 1995 . Coassociated Primes . Comm. Alg. , 23 : 1473 – 1498 .
- Zariski , O. and Samuel , P. 1958 . Commutative Algebra , Vol. I , Princeton, NJ : D. Van Nostrand Co., Inc. .
- Zariski , O. and Samuel , P. 1960 . Commutative Algebra , Vol. II , Princeton, NJ : D. Van Nostrand Co., Inc. .