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Original Articles

On the Intersection Algebra of Principal Ideals

Pages 623-635 | Received 20 Nov 2012, Published online: 22 Oct 2014

REFERENCES

  • Ciupercă , C. , Enescu , F. , Spiroff , S. ( 2007 ). Asymptotic growth of powers of ideals . Illinois Journal of Mathematics 51 ( 1 ): 29 – 39 .
  • Sturmfels , B. , Miller , E. ( 2005 ). Combinatorial Commutative Algebra . Berlin : Springer .
  • Fields , J. B. ( 2000 ). Length functions determined by killing powers of several ideals in a local ring. Ph.D. Dissertation, University of Michigan, Ann Arbor, Michigan .
  • Fields , J. B. ( 2002 ). Lengths of Tors determined by killing powers of ideals in a local ring . Journal of Algebra 247 ( 1 ): 104 – 133 .
  • Sara , M. ( 2008 ). Noetherian Filtrations and Finite Intersection Algebras. Master's thesis, Georgia State University .
  • Nagata , M. ( 1957 ). Note on a paper of Samuel concerning asymptotic properties of ideals . Mem. College Sci. Univ. Kyoto Ser. A Math 30 ( 2 ): 165 – 175 .
  • Samuel , P. ( 1952 ). Some asymptotic properties of powers of ideals . Annals of Mathematis (2) 56 ( 1 ): 11 – 21 .
  • Communicated by G. Leuschke.

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