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Volumn 31, Issue 6, 2001, Pages 631-649

Unmixed-dimensional Decomposition of a Finitely Generated Perfect Differential Ideal

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EID: 0346789752     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1999.1562     Document Type: Article
Times cited : (41)

References (27)
  • 3
    • 0002803133 scopus 로고
    • An algorithm method in polynomial ideal theory
    • Bose, N. K. ed., Dordrecht, Reidel
    • Buchberger, B. (1985). An algorithm method in polynomial ideal theory. In Bose, N. K. ed., Recent Trends Multidimentional Systems Theory, Dordrecht, Reidel.
    • (1985) Recent Trends Multidimentional Systems Theory
    • Buchberger, B.1
  • 5
    • 0026049994 scopus 로고
    • Elimination in control theory
    • Diop, S. (1991). Elimination in control theory. Math. Control Signals Syst., 4, 17-32.
    • (1991) Math. Control Signals Syst. , vol.4 , pp. 17-32
    • Diop, S.1
  • 6
    • 38249014570 scopus 로고
    • Differential algebraic decision methods and some applications to system theory
    • Diop, S. (1992). Differential algebraic decision methods and some applications to system theory. Theor. Comput. Sci., 98, 137-161.
    • (1992) Theor. Comput. Sci. , vol.98 , pp. 137-161
    • Diop, S.1
  • 7
    • 0008331413 scopus 로고
    • Closedness of morphisms of differential algebraic sets. Applications to system theory
    • Diop, S. (1993). Closedness of morphisms of differential algebraic sets. Applications to system theory. Forum Math., 5, 33-47.
    • (1993) Forum Math. , vol.5 , pp. 33-47
    • Diop, S.1
  • 8
    • 0000476418 scopus 로고
    • Combinatorial dimension theory of algebraic varieties
    • Giusti, M. (1988). Combinatorial dimension theory of algebraic varieties. Special issue of J. Symb. Comput., 6, 249-265.
    • (1988) J. Symb. Comput. , vol.6 , Issue.SPEC. ISSUE , pp. 249-265
    • Giusti, M.1
  • 9
    • 0004232435 scopus 로고
    • Ph.D Thesis, Research Institute for symbolic computation, University of Linz, Austria
    • Kalkbrener, M. (1991). Three contributions to elimination theory. Ph.D Thesis, Research Institute for symbolic computation, University of Linz, Austria.
    • (1991) Three Contributions to Elimination Theory
    • Kalkbrener, M.1
  • 10
    • 38249006658 scopus 로고
    • A generalized Euclidean algorithm for computing triangular representations of algebraic varieties
    • Kalkbrener, M. (1993). A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. J. Symb. Comput., 15, 143-167.
    • (1993) J. Symb. Comput. , vol.15 , pp. 143-167
    • Kalkbrener, M.1
  • 11
    • 85031465676 scopus 로고
    • Dimension of ideals in polynomial rings
    • Avenhaus, J., Madlener, K. eds, Kaiserslautern, Fachbereich Informatik
    • Kandri Rody, A. (1985). Dimension of ideals in polynomial rings. In Avenhaus, J., Madlener, K. eds, Proc. Combinatorial Algorithm Structures, Otzenhausen, 1985. Kaiserslautern, Fachbereich Informatik.
    • (1985) Proc. Combinatorial Algorithm Structures, Otzenhausen, 1985
    • Kandri Rody, A.1
  • 12
    • 0032099036 scopus 로고    scopus 로고
    • Triviality and dimension of a system of algebraic differential equations
    • Kandri Rody, A., Maârouf, H., Ssafini, M. (1998). Triviality and dimension of a system of algebraic differential equations. J. Autom. Reasoning, 20, 365-385.
    • (1998) J. Autom. Reasoning , vol.20 , pp. 365-385
    • Kandri Rody, A.1    Maârouf, H.2    Ssafini, M.3
  • 13
    • 2342665672 scopus 로고    scopus 로고
    • Elimination methods: An introduction
    • Kapur, D., Mundy, J. eds, A Brud Ford Book, Cambridge, MA, MIT
    • Kapur, D., Lakshman, Y. N. Elimination methods: an introduction. In Kapur, D., Mundy, J. eds, Geometric Reasoning, A Brud Ford Book, Cambridge, MA, MIT.
    • Geometric Reasoning
    • Kapur, D.1    Lakshman, Y.N.2
  • 15
    • 84983622515 scopus 로고
    • Computing dimension and independent sets for polynomial ideals
    • Kredel, H., Weispfenning, V. (1988). Computing dimension and independent sets for polynomial ideals. J. Symb. Comput., 6, 231-248.
    • (1988) J. Symb. Comput. , vol.6 , pp. 231-248
    • Kredel, H.1    Weispfenning, V.2
  • 17
    • 0000167385 scopus 로고
    • Solving zero-dimensional algebraic systems
    • Lazard, D. (1992). Solving zero-dimensional algebraic systems. J. Symb. Comput., 13, 117-131.
    • (1992) J. Symb. Comput. , vol.13 , pp. 117-131
    • Lazard, D.1
  • 18
    • 0000069912 scopus 로고
    • A new method for solving systems of positive dimension
    • Amsterdam, North-Holland
    • Lazard, D. (1991). A new method for solving systems of positive dimension. Discrete Appl. Math., 33, 147-160. Amsterdam, North-Holland.
    • (1991) Discrete Appl. Math. , vol.33 , pp. 147-160
    • Lazard, D.1
  • 21
    • 0345814730 scopus 로고
    • New York, AMS Colloquim. Publications
    • Ritt, J. F. (1950). Differential algebra, volume 33, New York, AMS Colloquim. Publications.
    • (1950) Differential Algebra , vol.33
    • Ritt, J.F.1
  • 22
    • 0000940301 scopus 로고
    • Specialization in differential algebra
    • Rosenfeld, A. (1959). Specialization in differential algebra. Trans. Am. Math. Soc., 90, 394-407.
    • (1959) Trans. Am. Math. Soc. , vol.90 , pp. 394-407
    • Rosenfeld, A.1
  • 24
    • 0342966923 scopus 로고
    • A method for proving theorems in differential geometry and mechanics
    • Wang, D. (1995). A method for proving theorems in differential geometry and mechanics. J. Universal Comput. Sci., 1, 658-673.
    • (1995) J. Universal Comput. Sci. , vol.1 , pp. 658-673
    • Wang, D.1
  • 25
    • 0346794374 scopus 로고    scopus 로고
    • An elimination method for differential polynomial systems I
    • Wang, D. (1996). An elimination method for differential polynomial systems I. Syst. Sci. Math. Sci., 9, 216-228.
    • (1996) Syst. Sci. Math. Sci. , vol.9 , pp. 216-228
    • Wang, D.1
  • 26
    • 0347706652 scopus 로고
    • A constructive theory of differential algebraic geometry
    • LNM Springer
    • Wu, W. (1987). A constructive theory of differential algebraic geometry. In Differential Geometry and Differential Equations, LNM 1255, pp. 173-189. Springer.
    • (1987) Differential Geometry and Differential Equations , vol.1255 , pp. 173-189
    • Wu, W.1
  • 27
    • 0000365195 scopus 로고
    • On the foundation of algebraic differential geometry
    • Wu, W. (1989). On the foundation of algebraic differential geometry. Syst. Sci. Math. Sci., 2, 289-312.
    • (1989) Syst. Sci. Math. Sci. , vol.2 , pp. 289-312
    • Wu, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.