source: git/Singular/groebner.bib @ 01cc012

@STRING{JSC = "J. Symbolic Computation"}

@ARTICLE {AttaF:96,
   AUTHOR = {Attardi, G. and Flagella, T.},
   TITLE = {Memory Management in the {PoSSo} Solver},
   JOURNAL = JSC,
   YEAR = {1996},
   VOLUME = {21},
   NUMBER = {3},
   PAGES = {293--312},
   MONTH = {March}
}

@Book{CoxLS:97,
  author =       "Cox, D. and Little, J. and O'Shea, D.",
  title =        {{Ideals, Varieties, and Algorithms}},
  publisher =    {{Springer}},
  year =         1997,
  edition =      "2nd"
}

@InCollection{BayeM:93,
  author =       "Bayer, D. and Mumford, D.",
  title =        "What can be computed in algebraic geometry?",
  booktitle = {{Computational Algebraic Geometry and Commutative Algebra}},
  publisher =    "Cambridge University Press, Cambridge",
  year =         1993,
  editor =       "Eisenbud, D. and Robbiano, L.",
  pages =        "1--48"
}

@InCollection{Buch:85,
  author =       "Buchberger, B.",
  title =        "Groebner bases: an algorithmic method in polynomial
                    ideal theory",
  OPTbooktitle = {{Multidimensional Systems Theory}},
  publisher =    "D. Reidel Publishing Company",
  year =         1985,
  editor =       "Bose, N. K.",
  pages =        "184--232"
}

@InProceedings{GiovMNRT:91,
  author =       "Giovini, A. and Mora, T. and Niesi, G. and Robbiano,
                    L. and Traverso, C.",
  title =        {{One sugar cube, please or Selection strategies in
                    Buchberger algorithms}},
  editor =       "Watt, S.",
  pages =        "49--54",
  booktitle =    "Proceedings of the 1991 International Symposium on
                    Symbolic and Algebraic Computations, ISSAC'91",
  year =         1991,
  publisher =    "ACM press"
}


@InProceedings{CaboDR:96,
  author =       "Caboara, M. and De Dominicis, G. and Robbiano, L.",
  title =        {{Multigraded Hilbert Functions and Buchberger Algorithm}},
   booktitle = "Proc. of the International Symposium on Symbolic
     and Algebraic Computation (ISSAC'96)",
   month = jul,
   address = {Zurich, Switzerland},
   publisher = {{ACM Press}},
   year = {1996},
  pages =        "72--78"
}

@Misc{BayeS:93,
  author = {Bayer, D. and Stillman, M.},
  title = {{{\em Macaulay Classic}: A computer algebra system for algebraic geometry}},
  year = 1993,
  note = {Available via anonymous ftp from
  {\tt ftp://math.harvard.edu/Macaulay}}
}
@ARTICLE {BjorF:91,
   AUTHOR = {Bj{\"o}rck, G. and Fr{\"o}berg, G.},
   TITLE = {A Faster Way to Count the Solution of Inhomogeneous Systems of
        Algebraic Equations, with Applications to Cyclic $n$-Roots},
   JOURNAL = JSC,
   YEAR = {1991},
   VOLUME = {12},
   NUMBER = {3},
   PAGES = {329--336},
   MONTH = {September}
}

@ARTICLE {BoegGK:86,
   AUTHOR = {Boege, W. and Gebauer, R. and Kredel, H.},
   TITLE = {{Some Examples for Solving Systems of Algebraic Equations by
         Calculating Groebner Bases}},
   JOURNAL = JSC,
   YEAR = {1986},
   VOLUME = {2},
   NUMBER = {1},
   PAGES = {83--98},
   MONTH = {March}
}

@InBook{KatsFIFG:87,
  author =       "Katsura, W and Fukuda, S. and Inawashiro, N. and
                    Fujiki, N. M. and Gebauer, R.",
  title =        "Cell Biophysics",
  year =         1987,
  pages =        "309--319",
  volume =       11
}

@InCollection{GreuPS:97,
      author =       "Greuel, G.-M. and Pfister, G. and Sch{\"o}nemann, H.",
      title =        {{Singular Reference Manual}},
      institution =  "Centre for Computer Algebra",
      year =         1997,
      booktitle =       "Reports On Computer Algebra",
      publisher   =  "Centre for Computer Algebra, University of Kaiserslautern",
      number =       12,
      month =        "May",
      note = "\verb?http://www.singular.uni-kl.de?"
  }

@InCollection{BachS:98,
      author =       "Bachmann, O. and Sch{\"o}nemann, H.",
      title =        {{Monomial operations for computations of Gr{\"o}bner
                        bases}},
      institution =  "Centre for Computer Algebra",
      year =         1998,
      booktitle =       "Reports On Computer Algebra 18",
      publisher   =  "Centre for Computer Algebra, University of Kaiserslautern",
      month =        "January",
      note = "Also available from \verb?http://www.mathematik.uni-kl.de/~zca/?"
  }

@Misc{PoSSo,
  title = {{{\em PoSSo}: Polynomial System Solving}},
  year = 1995,
  note = {{\tt http://posso.dm.unipi.it/}},
  key = "posso"
}

@InProceedings{Robb:85,
 author = {Robbiano, L.},
 title = {{Term Orderings on the Polynomial Ring}},
 booktitle = {Proceedings of EUROCAL 85, Lecture
              Notes in Computer Science {\bf 204}},
 year = 1985,
 pages = {513-517}
}

@Article{BayeS:87,
  author =       "Bayer, D. and Stillman, M.",
  title =        "A theorem on refining division orders by the revers
                    lexicographic order",
  journal =      "Duke J. Math.",
  year =         1987,
  volume =       55,
  pages =        "321--328"
}

@InProceedings{BS:98,
author =       {Bachmann, O. and Sch\"onemann, H.},
title =        {{Monomial Representations for Gr\"obner Bases Computations}},
   booktitle = {{Proc. of the International Symposium on Symbolic
     and Algebraic Computation (ISSAC'98)}},
   publisher = {{ACM Press}},
   year = {1998},
  pages =        "309--316"
}

@Misc{Kahn:93,
  author =       "Kahn, Konstantin",
  title =        "private communications",
  year =         1993
}

@ARTICLE {Yan:98,
   AUTHOR = {Yan, T.},
   TITLE = {The Geobucket Data Structure for Polynomials},
   JOURNAL = JSC,
   YEAR = {1998},
   VOLUME = {25},
   NUMBER = {3},
   PAGES = {285--294},
   MONTH = {March}
}

@InCollection{S:03,
  author =       {{Sch\"onemann, H.}},
  title =        {{Singular in a Framework for Polynomial Computations}},
  booktitle = {{Algebar, Geometry and Software Systems}},
  publisher =    {{Springer}},
  year =         2003,
  editor =       {{Joswig, M. and Takayama, N.}},
  pages =        {{163--176}}
}

@InProceedings{Felix,
author =       {Apel, J. and Klaus, U.},
title =        {{FELIX -- an assistant for algebraists
 (\verb+http://felix.hgb-leipzig.de+)}},
   booktitle = {{Proc. of the International Symposium on Symbolic
     and Algebraic Computation (ISSAC'91)}},
   publisher = {{ACM Press}},
   year = {1991},
  pages =        "382--389"
}

@ARTICLE {AP,
   AUTHOR = { Apel, J.},
   TITLE = {Gr\"obnerbasen in nichtkommutativen Algebren und ihre Anwendung},
   JOURNAL = {Dissertation, Universit\"at Leipzig},
   YEAR = {1988},
}

@ARTICLE {GL,
   AUTHOR = {Gomez-Torrecillas, J. and Lobillo, F.J.},
   TITLE = {Global homological dimension of multifiltered rings and quantized enveloping algebras},
   JOURNAL = {J. Algebra},
   YEAR = {2000},
   VOLUME = {225},
   NUMBER = {2},
   PAGES = {522--533},
}

@ARTICLE {MM,
   AUTHOR = {M\"oller, H.M. and Mora, T.},
   TITLE = {New Constructive Methods in Classical Ideal Theory},
   JOURNAL = {J. Algebra},
   YEAR = {1986},
   VOLUME = {100},
   PAGES = {138-178},
}

@ARTICLE {KW,
   AUTHOR = { Kandri-Rody, A. and  Weispfenning, V.},
   TITLE = {Non--commutative Gr\"obner bases in algebras of solvable type},
   JOURNAL = JSC,
   YEAR = {1990},
   VOLUME = {9},
   NUMBER = {1},
   PAGES = {1--26},
}

@InProceedings{NDC,
  author =       {{Levandovskyy, V.}},
  title =        {{PBW Bases, Non-Degeneracy Conditions and Applications}},
  editor =       {{Buchweitz, R.-O. and Lenzing, H.}},
  booktitle =    {{Proceedings of the ICRA X conference}},
  year =         {{to appear}},
}

@InProceedings{LV2,
  author =       {{Levandovskyy, V.}},
  title =        {{On Gr\"obner bases for noncommutative G-algebras}},
  editor =       {{Kredel, H. and Seiler, W.K.}},
  booktitle =    {{Proceedings of the 8th Rhine Workshop on Computer Algebra}},
  year =         2002,
}

@Book{KS,
  author =       {{Klimyk, A. and Schm\"udgen, K.}},
  title =        {{Quantum groups and their representations}},
  publisher =    {{Springer}},
  year =         1997,
}

@ARTICLE {HKP,
   AUTHOR = {{ Havlicek, M. and   Klimyk, A. and  Posta, S.}},
   TITLE = {{Central elements of
     the algebras $U'_q({\rm so}_m)$ and $U'_q({\rm iso}_m)$}},
   JOURNAL = {{arXiv.~math.~QA/9911130}},
   YEAR = {1999},
}

@ARTICLE {BR,
   AUTHOR = {Benkart, G. and  Roby, T.},
   TITLE = {Down--up algebras},
   JOURNAL = {J. Algebra},
   YEAR = {1998},
   VOLUME = {209},
   NUMBER = {1},
   PAGES = {305--344},
}

@InProceedings{I1,
 author = {Iorgov, N.},
 title = {{On the Center of $q$-Deformed Algebra $U'_q({\rm so}_3)$ Related to Quantum Gravity at $q$ a Root of $1$}},
 booktitle = {Proceedings of IV Int. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Ukraine},
 year = 2001,
}


@InProceedings{MAS,
author =       {Kredel, H.},
title =        {{MAS Modula-2 Algebra System}},
   booktitle = {{Proc. DISCO 90 Capri}},
   publisher = {{LNCS 429}},
   year = {1990},
  pages =        "270--271"
}

@ARTICLE {Mgfun,
   AUTHOR = { Chyzak, F. and Salvy, B.},
   TITLE = {Mgfun - package for Maple: Non-commutative Elimination in
            Ore Algebras Proves Multivariate Identities},
   JOURNAL = JSC,
   YEAR = {1998},
   VOLUME = {26},
   NUMBER = {2},
   PAGES = {187--227},
}

@ARTICLE {NS,
   AUTHOR = { N\"u{\ss}ler, T. and Sch\"onemann, H.},
   TITLE = {Gr\"obner bases in algebras with zero--divisors},
   JOURNAL = {{Preprint 244, Universit\"at Kaiserslautern}},
   YEAR = {1993},
}

@InProceedings {DE,
   AUTHOR = { Decker, D. and  Eisenbud, D.},
   TITLE = {Sheaf algorithms using the exterior algebra},
   YEAR = {2001},
   EDITOR =      {{Eisenbud, D.; Grayson, D.; Stillman, M.; Sturmfels, B.}},
   BOOKTITLE =   {{Computations in algebraic geometry with Macaulay 2}},
}

@ARTICLE{LV,
  author =       {{Levandovskyy, V.}},
  title =        {{Gr\"obner bases of a class of noncommutative algebras}},
   JOURNAL = {{Master Thesis, Universit\"at Kaiserslautern}},
  year =         2000,
}

@ARTICLE {IPR,
   AUTHOR = {{ Isaev, A. and  Pyatov, P. and  Rittenberg, V.}},
   TITLE = {{Diffusion algebras}},
   JOURNAL = {{arXiv.~math.~QA/0103603}},
   YEAR = {2001},
}

@Book{Kr,
  author =       {{Kredel, H.}},
  title =        {{Solvable polynomial rings}},
  publisher =    "Shaker",
  year =         1993,
}

@Book {DK,
   AUTHOR = { Drozd, Y. and Kirichenko, V.},
   TITLE = { Finite dimensional algebras. With an appendix by Vlastimil Dlab},
  publisher =  {{Springer}},
   YEAR = {1994},
}

@Book{GPS,
  author =       {{Greuel, G.-M. and Pfister, G. with contributions by Bachmann, O. and Sch\"onemann, H.}},
  title =        {{A SINGULAR  Introduction to Commutative Algebra}},
  publisher =    {{Springer}},
  year =         2002,
}