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Volumn 234, Issue 4, 2000, Pages 755-775

Linear equivalence of ideal topologies

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EID: 0034378941     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090050007     Document Type: Article
Times cited : (61)

References (35)
  • 1
    • 0041059327 scopus 로고
    • Symbolic powers and the number of defining equations, in algebra and its application
    • R. Cowsik, Symbolic powers and the number of defining equations, in Algebra and its Application. Lecture Notes in Pure and Applied Mathematics 91 (1985), 13-14
    • (1985) Lecture Notes in Pure and Applied Mathematics , vol.91 , pp. 13-14
    • Cowsik, R.1
  • 2
    • 0002149128 scopus 로고
    • Symbolic algebras of monomial primes
    • S. D. Cutkosky, Symbolic algebras of monomial primes, J. reine angew. Math. 416 (1991), 71-89
    • (1991) J. Reine Angew. Math. , vol.416 , pp. 71-89
    • Cutkosky, S.D.1
  • 3
    • 84972550067 scopus 로고
    • Weil divisors and symbolic algebras
    • S. D. Cutkosky, Weil divisors and symbolic algebras, Duke Math. J. 57 (1988), 175-183
    • (1988) Duke Math. J. , vol.57 , pp. 175-183
    • Cutkosky, S.D.1
  • 4
    • 38249028959 scopus 로고
    • Symbolic powers of monomial curves
    • S. Eliahou, Symbolic powers of monomial curves, J. Algebra 117 (1988), 437-156
    • (1988) J. Algebra , vol.117 , pp. 437-1156
    • Eliahou, S.1
  • 5
    • 0039280441 scopus 로고
    • Topics on symbolic rees algebras for space monomial curves
    • S. Goto, K. Nishida and Y. Shimoda, Topics on symbolic Rees algebras for space monomial curves, Nagoya Math. J. 124 (1991), 99-132
    • (1991) Nagoya Math. J. , vol.124 , pp. 99-132
    • Goto, S.1    Nishida, K.2    Shimoda, Y.3
  • 6
    • 84966206133 scopus 로고
    • Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question
    • S. Goto, K. Nishida and K.-I. Watanabe, Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question, Proc. Amer. Math. Soc. 120 1994, 383-392
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 383-392
    • Goto, S.1    Nishida, K.2    Watanabe, K.-I.3
  • 7
    • 0001091102 scopus 로고
    • Generators and relations of abelian semigroups and semigroup rings
    • J. Herzog, Generators and relations of abelian semigroups and semigroup rings, Manuscripta Math. 3 (1991), 175-193
    • (1991) Manuscripta Math. , vol.3 , pp. 175-193
    • Herzog, J.1
  • 8
    • 38249018652 scopus 로고
    • Analytic spread modulo an element and symbolic Rees algebras
    • S. Huckaba, Analytic spread modulo an element and symbolic Rees algebras, J. Algebra 128 (1990), 306-320
    • (1990) J. Algebra , vol.128 , pp. 306-320
    • Huckaba, S.1
  • 9
    • 84972520540 scopus 로고
    • Symbolic powers of prime ideals with applications to hypersurface rings
    • S. Huckaba, Symbolic powers of prime ideals with applications to hypersurface rings, Nagoya Math. J. 113 (1989), 161-172
    • (1989) Nagoya Math. J. , vol.113 , pp. 161-172
    • Huckaba, S.1
  • 10
    • 0001723374 scopus 로고
    • On the finite generation of symbolic blow-ups
    • C. Huneke, On the finite generation of symbolic blow-ups, Math. Z. 179 (1982), 465-472
    • (1982) Math. Z. , vol.179 , pp. 465-472
    • Huneke, C.1
  • 11
    • 0001236909 scopus 로고
    • Hilbert functions and symbolic powers
    • C. Huneke, Hilbert functions and symbolic powers, Michigan Math. J. 34 (1987), 293-318
    • (1987) Michigan Math. J. , vol.34 , pp. 293-318
    • Huneke, C.1
  • 12
    • 0001649488 scopus 로고
    • The primary components of and integral closures of ideals in 3-dimensional regular local rings
    • C. Huneke, The primary components of and integral closures of ideals in 3-dimensional regular local rings, Math. Ann. 275 (1986), 617-635
    • (1986) Math. Ann. , vol.275 , pp. 617-635
    • Huneke, C.1
  • 13
    • 0007038117 scopus 로고
    • Prime divisors, asymptotic R-sequences and unmixed local rings
    • D. Katz, Prime divisors, asymptotic R-sequences and unmixed local rings, J. Algebra 95 (1985), 59-71
    • (1985) J. Algebra , vol.95 , pp. 59-71
    • Katz, D.1
  • 14
    • 0041059324 scopus 로고
    • U-essential prime divisors and sequences over an ideal
    • D. Katz and L. J. Ratliff, U-essential prime divisors and sequences over an ideal, Nagoya J. Math. 103 (1986), 39-66
    • (1986) Nagoya J. Math. , vol.103 , pp. 39-66
    • Katz, D.1    Ratliff, L.J.2
  • 16
    • 51249191253 scopus 로고
    • Rational singularities with applications to algebraic surfaces and unique factorization
    • J. Lipman, Rational singularities with applications to algebraic surfaces and unique factorization, Publ. Math. IHES 36 (1969), 195-279
    • (1969) Publ. Math. IHES , vol.36 , pp. 195-279
    • Lipman, J.1
  • 17
    • 0003296113 scopus 로고
    • Asymptotic prime divisors
    • Springer-Verlag
    • S. McAdam, Asymptotic Prime Divisors, Lecture Notes in Mathematics 1023, Springer-Verlag, 1983
    • (1983) Lecture Notes in Mathematics , pp. 1023
    • McAdam, S.1
  • 18
    • 0039280439 scopus 로고
    • Noetherian symbolic blow-ups
    • M. Morales, Noetherian symbolic blow-ups, J. Algebra 140 (1991), 12-25
    • (1991) J. Algebra , vol.140 , pp. 12-25
    • Morales, M.1
  • 19
    • 0002283359 scopus 로고
    • On the fourteenth problem of Hilbert
    • Cambridge University Press
    • M. Nagata, On the fourteenth problem of Hilbert, Proc. Internat. Congress Math. (1958), Cambridge University Press, 1960
    • (1958) Proc. Internat. Congress Math.
    • Nagata, M.1
  • 21
    • 0007131198 scopus 로고
    • The topology determined by the symbolic powers of primary ideals
    • L. J. Ratliff, Jr., The topology determined by the symbolic powers of primary ideals, Comm. Alg. 13 (1985), 2073-2104
    • (1985) Comm. Alg. , vol.13 , pp. 2073-2104
    • Ratliff L.J., Jr.1
  • 22
    • 84963014970 scopus 로고
    • Valuations associated with ideals II
    • D. Rees, Valuations associated with ideals II, J. London Math. Soc. 31 (1956), 221-228
    • (1956) J. London Math. Soc. , vol.31 , pp. 221-228
    • Rees, D.1
  • 23
    • 0001103992 scopus 로고
    • Izumi's theorem
    • editors M. Hochster, C. Huneke and J.D. Sally, Springer-Verlag
    • D. Rees, Izumi's Theorem, in "Commutative Algebra", editors M. Hochster, C. Huneke and J.D. Sally, Springer-Verlag, 1989, 407-416
    • (1989) Commutative Algebra , pp. 407-416
    • Rees, D.1
  • 24
    • 84963025646 scopus 로고
    • A note on analytically unramified local rings
    • D. Rees, A note on analytically unramified local rings, J. London Math. Soc. 36 (1961), 24-28
    • (1961) J. London Math. Soc. , vol.36 , pp. 24-28
    • Rees, D.1
  • 25
    • 84972491730 scopus 로고
    • On a problem of Zariski
    • D. Rees, On a problem of Zariski, Illinois J. Math. 2 (1958), 145-149
    • (1958) Illinois J. Math. , vol.2 , pp. 145-149
    • Rees, D.1
  • 26
    • 84968487583 scopus 로고
    • A prime ideal in a polynomial ring whose symbolic blow-up is not Noetherian
    • P. Roberts, A prime ideal in a polynomial ring whose symbolic blow-up is not Noetherian, Proc. Amer. Math. Soc. 94 (1985), 589-592
    • (1985) Proc. Amer. Math. Soc. , vol.94 , pp. 589-592
    • Roberts, P.1
  • 27
    • 38249018313 scopus 로고
    • An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
    • P. Roberts, An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem, J. Algebra 132 (1990), 461-473
    • (1990) J. Algebra , vol.132 , pp. 461-473
    • Roberts, P.1
  • 28
    • 84968503462 scopus 로고
    • Symbolic powers of prime ideals and their topology
    • P. Schenzel, Symbolic powers of prime ideals and their topology, Proc. Amer. Math. Soc. 93 (1985), 15-20
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 15-20
    • Schenzel, P.1
  • 29
    • 84985341550 scopus 로고
    • Finiteness of relative Rees rings and asymptotic prime divisors
    • P. Schenzel, Finiteness of relative Rees rings and asymptotic prime divisors, Math. Nachr. 129 (1986), 123-148
    • (1986) Math. Nachr. , vol.129 , pp. 123-148
    • Schenzel, P.1
  • 31
    • 0002386094 scopus 로고
    • Examples of Noetherian symbolic blow-up rings
    • P. Schenzel, Examples of Noetherian symbolic blow-up rings, Rev. Roumaine Math. Pures Appl. 33 (1988), 375-383
    • (1988) Rev. Roumaine Math. Pures Appl. , vol.33 , pp. 375-383
    • Schenzel, P.1
  • 32
    • 0039872234 scopus 로고
    • On finite generation of symbolic algebras of monomial primes
    • H. Srinivasan, On finite generation of symbolic algebras of monomial primes, Comm. Algebra 19 (1991), 2557-2564
    • (1991) Comm. Algebra , vol.19 , pp. 2557-2564
    • Srinivasan, H.1
  • 33
    • 0031538222 scopus 로고    scopus 로고
    • Powers of ideals: Primary decompositions, Artin-Rees lemma and regularity
    • I. Swanson, Powers of ideals: primary decompositions, Artin-Rees lemma and regularity, Math. Annalen 307 (1997), 299-313
    • (1997) Math. Annalen , vol.307 , pp. 299-313
    • Swanson, I.1
  • 34
    • 38249034202 scopus 로고
    • On ideals who adic and symbolic topologies are linearly equivalent
    • J. K. Verma, On ideals who adic and symbolic topologies are linearly equivalent, J. Pure and Applied Algebra 47 (1987), 205-212
    • (1987) J. Pure and Applied Algebra , vol.47 , pp. 205-212
    • Verma, J.K.1
  • 35
    • 38249028222 scopus 로고
    • On the symbolic topology of an ideal
    • J. K. Verma, On the symbolic topology of an ideal, J. Algebra 112 (1988), 416-429
    • (1988) J. Algebra , vol.112 , pp. 416-429
    • Verma, J.K.1


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