메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages 191-195

An algorithm for the computation of the radical of an ideal

Author keywords

Algorithms; Complexity; Polynomial ideal; Primary decomposition; Radical

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 33748985788     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1145768.1145802     Document Type: Conference Paper
Times cited : (24)

References (20)
  • 6
    • 0003208975 scopus 로고
    • The membership problem for unmixed polynomial ideals is solvable in single exponential time
    • A. Dickenstein, N. Fitchas, M. Giusti, and C. Sessa. The membership problem for unmixed polynomial ideals is solvable in single exponential time. Discrete Applied Mathematics, (33):73-94, 1991.
    • (1991) Discrete Applied Mathematics , Issue.33 , pp. 73-94
    • Dickenstein, A.1    Fitchas, N.2    Giusti, M.3    Sessa, C.4
  • 7
    • 0025474826 scopus 로고
    • The structure of polynomial ideals and grobner bases
    • T. W. Dube. The structure of polynomial ideals and grobner bases. SIAM J. Comput., (19):750-773, 1990.
    • (1990) SIAM J. Comput. , Issue.19 , pp. 750-773
    • Dube, T.W.1
  • 8
    • 0002103461 scopus 로고
    • Direct methods for primary decomposition
    • D. Eisenbud, C. Huneke, and W. Vasconcelos. Direct methods for primary decomposition. Invent. Math., (110):207-235, 1992.
    • (1992) Invent. Math. , Issue.110 , pp. 207-235
    • Eisenbud, D.1    Huneke, C.2    Vasconcelos, W.3
  • 10
    • 85034825830 scopus 로고
    • Some effective problems in polynomial ideal theory
    • M. Giusti. Some effective problems in polynomial ideal theory. EUROSAM 84, Lecture Notes in Computer Science, (174):159-171, 1984.
    • (1984) EUROSAM 84, Lecture Notes in Computer Science , Issue.174 , pp. 159-171
    • Giusti, M.1
  • 13
    • 0000627865 scopus 로고
    • Definability and fast quantifier elimination over algebraically closed fields
    • J. Heintz. Definability and fast quantifier elimination over algebraically closed fields. Theor. Comp. Science, (24):239-278, 1983.
    • (1983) Theor. Comp. Science , Issue.24 , pp. 239-278
    • Heintz, J.1
  • 14
    • 0036749802 scopus 로고    scopus 로고
    • The calculation of radical ideals in positive characteristic
    • G. Kemper. The calculation of radical ideals in positive characteristic. J. Symbolic Computation, (34):229-238, 2002.
    • (2002) J. Symbolic Computation , Issue.34 , pp. 229-238
    • Kemper, G.1
  • 15
    • 85030645974 scopus 로고
    • An algorithm for the computation of the radical of an ideal in the ring of polynomials
    • T. Krick and A. Logar. An algorithm for the computation of the radical of an ideal in the ring of polynomials. AAECC9, Springer LNCS, (539):195-205, 1991.
    • (1991) AAECC9, Springer LNCS , Issue.539 , pp. 195-205
    • Krick, T.1    Logar, A.2
  • 16
    • 0009351151 scopus 로고
    • Membership problem, representation problem and the computation of the radical for one-dimensional ideals
    • T. Krick and A. Logar. Membership problem, representation problem and the computation of the radical for one-dimensional ideals. Progress in Mathematics, (94):203-216, 1991.
    • (1991) Progress in Mathematics , Issue.94 , pp. 203-216
    • Krick, T.1    Logar, A.2
  • 17
    • 0001555828 scopus 로고    scopus 로고
    • Sharp estimates for the arithmetic nullstellensatz
    • T. Krick, L. M. Pardo, and M. Sombra. Sharp estimates for the arithmetic nullstellensatz. Duke Math J., (109):521-598, 2001.
    • (2001) Duke Math J. , Issue.109 , pp. 521-598
    • Krick, T.1    Pardo, L.M.2    Sombra, M.3
  • 18
    • 0035193212 scopus 로고    scopus 로고
    • Computing the radical of an ideal in positive characteristic
    • R. Matsumoto. Computing the radical of an ideal in positive characteristic. J. Symbolic Computation, (32):263-271, 2001.
    • (2001) J. Symbolic Computation , Issue.32 , pp. 263-271
    • Matsumoto, R.1
  • 19
    • 84968475551 scopus 로고
    • Constructions in algebra
    • A. Seidenberg. Constructions in algebra. Trans. Amer. Math. Soc., (197):273-313, 1974.
    • (1974) Trans. Amer. Math. Soc. , vol.197 , pp. 273-313
    • Seidenberg, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.