Groebner Bases for Non-Commutative Polynomial Rings
AAECC-3 Proceedings of the 3rd International Conference on Algebraic Algorithms and Error-Correcting Codes
Non-commutative Gröbner bases in algebras of solvable type
Journal of Symbolic Computation
Journal of Symbolic Computation
FELIX—an assistant for alebraists
ISSAC '91 Proceedings of the 1991 international symposium on Symbolic and algebraic computation
Finite Gröbner bases in non-Noetherian skew polynomial rings
ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation
Unification in commutative theories, Hilbert's basis theorem, and Gröbner bases
Journal of the ACM (JACM)
Elimination theory for differential difference polynomials
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Computer algebra handbook
Gröbner bases in universal enveloping algebras of Leibniz algebras
Journal of Symbolic Computation
Letterplace ideals and non-commutative Gröbner bases
Journal of Symbolic Computation
Detecting unnecessary reductions in an involutive basis computation
Journal of Symbolic Computation
Passive complete orthonomic systems of PDEs and involutive bases of polynomial modules
SNSC'01 Proceedings of the 2nd international conference on Symbolic and numerical scientific computation
Looking for Gröbner basis theory for (almost) skew 2-nomial algebras
Journal of Symbolic Computation
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The powerful concept of Grobner bases and an extension of the Buchberger algorithm for their computation have been generalised to enveloping algebras of Lie algebras. Algorithms for the computation of syzygies by use of Grobner bases are given. This is the first method which allows the transformation of right fractions into left fractions in the Lie field of any finite dimensional Lie algebra. That enables CAS calculations in Lie fields. An AMP program LIEFIELD has been written for this purpose. Another AMP program SYZYGY produces a generating set of the syzygy module of any finite subset of an enveloping algebra. Examples for both programs are presented for the Weyl algebra and the so(3).