Associated Primes of (Non-Standard) Multigraded Modules

REFERENCES

• Branco-Correira , A. L. , Zarzuela , S. ( 2006 ). On the asymptotic properties of the Rees powers of a module . J. Pure and Applied Alg. 207 : 373 – 385 .
   Web of Science ®Google Scholar
• Brodmann , M. ( 1979 ). Asymptotic stability of Ass(M/I n M) . Proc. Amer. Math. Soc. 74 : 16 – 18 .
   Web of Science ®Google Scholar
• Brodmann , M. ( 1979 ). The asymptotic nature of the analytic spread . Math. Proc. Cambridge Philos. Soc. 86 : 35 – 39 .
   Web of Science ®Google Scholar
• Burch , L. ( 1972 ). Codimension and analytic spread . Proc. Cambridge Philos. Soc. 72 : 369 – 373 .
   Web of Science ®Google Scholar
• Colomé-Nin , G. , Elias , J. ( 2011 ). On the asymptotic depth of multigraded modules . Comm. Algebra 39 : 3298 – 3316 .
   Web of Science ®Google Scholar
• Conca , A. , Herzog , J. , Trung , N.V. , Valla , G. ( 1997 ). Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces . Amer. J. Math. 119 : 859 – 901 .
   Web of Science ®Google Scholar
• Cutkosky , S. D. , Herzog , J. ( 1997 ). Cohen-Macaulay coordinate rings of blow-up schemes . Coment. Math. Helv. 72 : 605 – 617 .
   Web of Science ®Google Scholar
• Geramita , A. V. , Gimigliano , A. , Pitteloud , Y. ( 1995 ). Graded Betti numbers of some embedded rational n-folds . Math. Ann. 301 : 363 – 380 .
   Web of Science ®Google Scholar
• Hà , H. T. , Trung , N. V. ( 2005 ). Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups . Trans. Amer. Math. Soc. 357 : 3655 – 3672 .
   Web of Science ®Google Scholar
• Hayasaka , F. ( 2006 ). Asymptotic stability of primes associated to homogeneous components of multigraded modules . J. Algebra 306 : 535 – 543 .
   Web of Science ®Google Scholar
• Herzog , J. , Hibi , T. ( 2005 ). The depth of powers of an ideal . J. Algebra 291 : 532 – 550 .
   Web of Science ®Google Scholar
• Kingsbury , A. K. , Sharp , R. Y. ( 1996 ). Asymptotic behaviour of certain sets of prime ideals . Proc. Amer. Math. Soc. 124 : 1703 – 1711 .
   Web of Science ®Google Scholar
• Lavila-Vidal , O. ( 1998 ). On the Cohen-Macaulay property of diagonal subalgebras of the Rees algebra . Manuscripta Math. 95 : 47 – 58 .
   Web of Science ®Google Scholar
• Matsumura , H. ( 1989 ). Commutative Ring Theory. Cambridge Studies in Advanced Mathematics. Vol. 8. 2nd ed. Cambridge University Press .
   Google Scholar
• West , E. ( 2004 ). Primes associated to multigraded modules . J. Algebra 271 : 427 – 453 .
   Web of Science ®Google Scholar
• Communicated by I. Swanson.
   Google Scholar