Canonical subalgebraic bases in non-commutative polynomial rings

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Canonical subalgebraic bases in non-commutative polynomial rings

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents

Rostock, Germany

Pages: 140 - 146

Year of Publication: 1998

ISBN:1-58113-002-3

Author

Patrik Nordbeck

Department of Mathematics, Lund Institute of Technology, Box 118, S-221 00 Lund, Sweden

Sponsors

German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 16, Citation Count: 2

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Jean Berstel , Dominique Perrin, Theory of Codes, Academic Press, Inc., Orlando, FL, 1985
	2	BUCHBERGER, B. On finding a vector space basis of the residue class ring modulo a zero dimensional polynomial ideal (German). PhD thesis, University of Innsbruck, Austria, 1965.
	3	D. Kapur , K. Madlener, A completion procedure for computing canonical basis for a k-Subalgebra, Proceedings of the third conference on Computers and mathematics, p.1-11, May 1989, Boston, Massachusetts, United States
	4	Ferdinando Mora, Groebner Bases for Non-Commutative Polynomial Rings, Proceedings of the 3rd International Conference on Algebraic Algorithms and Error-Correcting Codes, p.353-362, July 15-19, 1985
	5	NORDBECK, P. On some basic applications of GrSbner bases in noncommutative polynomial rings. In GrSbner bases and applications, vol. 251 of London Math. Soc. Lecture Note Ser. Cambridge Univ. Press, Cambridge, 1993, pp. 463-472.
	6	OLLIVIER, F. Canonical bases: relations with standard bases, finiteness conditions and application to tame automorphisms. In Effective methods in algebraic geometry (Castiglioncello, 1990), vol. 94 of Progr. Math. Birkh/iuser Boston, Boston, MA, 1991, pp. 379-400.
	7	PODOPLELOV, A., AND UFNAROVSKI, V. ANICK, C code, 1997. Available by anonymous ftp from ftp.riscom.net in the directory: /pub/anick.
	8	ROBBIANO, L., AND SWEEDLER, M. Subalgebra bases. In Commutative algebra (Salvador, 1988), vol. 1430 of Lecture Notes in Math. Springer, Berlin, 1990, pp. 61- 87.
	9	David Shannon , Moss Sweedler, Using Gro¨bner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence, Journal of Symbolic Computation, v.6 n.2-3, p.267-273, Oct./Dec. 1988 [doi>10.1016/S0747-7171(88)80047-6]
	10	STURMFELS, B. GrSbner bases and convex polytopes, vol. 8 of University Lecture Series. American Mathematical Society, Providence, RI, 1996.
	11	UFNAROVSKI, V. Combinatorial and asymptotic methods in algebra {MR 92h:16024}. In Algebra, VI, vol. 57 of Encyclopaedia Math. Sci. Springer, Berlin, 1995, pp. 1- 196.

CITED BY 2

	Patrik Nordbeck, SAGBI bases under composition, Journal of Symbolic Computation, v.33 n.1, p.67-76, 01/01/2002
	Jonas Månsson , Patrik Nordbeck, Regular Gröbner bases, Journal of Symbolic Computation, v.33 n.2, p.163-181, February 2002