Non-commutative Gröbner bases in algebras of solvable type
Tài liệu tham khảo
Apel, 1988, An extension of Buchberger's algorithm and calculations in enveloping fields of Lie Algebras, J. Symbolic Comp., 6, 361, 10.1016/S0747-7171(88)80053-1
Bergmann, 1978, The diamond lemma in ring theory, Adv. Math., 29, 178, 10.1016/0001-8708(78)90010-5
Boone, 1959, The word problem, Ann. Math., 70, 207, 10.2307/1970103
Buchberger, 1976, Some properties of Gröbner bases for polynomial ideals, ACM SIGSAM Bull., 10, 19, 10.1145/1088222.1088224
Buchberger, 1985, Gröbner bases: an algorithmic method in polynomial ideal theory
Dickson, 1913, Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors, Amer. J. Math., 35, 413, 10.2307/2370405
Dixmier, 1974
Eilenberg, 1969, Rational sets in commutative monoids, J. Algebra, 13, 173, 10.1016/0021-8693(69)90070-2
El From, 1983, Sur les algèbres de type résoluble
Galligo, 1985, Some algorithmic questions on ideals of differential operators, 204, 413
Gebauer, 1983
Huet, 1980, Confluent reductions: Abstract properties and applications to term rewriting systems, J. ACM, 27, 797, 10.1145/322217.322230
Jacobson, 1962
Kandri-Rody, 1984, Algorithms for computing the Gröbner bases of polynomial ideals over various Euclidean rings, 174, 195
Kandri-Rody, 1984, An algorithm for computing the Gröbner basis of a polynomial ideal over a Euclidean ring, GECRD Report 84CRD045
Kandri-Rody, 1988, An algorithm for computing the Gröbner basis of a polynomial ideal over a Euclidean ring, J. Symb. Comp., 6, 37, 10.1016/S0747-7171(88)80020-8
Lassner, 1985, Symbol representation of non-commutative algebras, 204, 99
Lesieur, 1978, Conditions Noéthériennes dans l'anneau de polynomes de Ore A[X, σ, δ], Séminaire d'algèbre P. Dubreil, Paris 1977–78, Springer LNM, 641, 220
Mayr, 1982, The complexity of the word problem for commutative semigroups and polynomial ideals, Adv. Math., 46, 305, 10.1016/0001-8708(82)90048-2
Mora, 1986, Gröbner bases for non-commutative polynomial rings, 229, 353
Ore, 1933, Theory of non-commutative polynomials, Ann. Math., 34, 480, 10.2307/1968173
van der Waerden, 1967
Weispfenning, 1988, Constructing universal Gröbner bases, 356, 408
Winkler, 1985, An algorithm for constructing canonical bases of polynomial ideals, ACM/TOMS, 11, 66