Discrete comprehensive Gröbner bases

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Discrete comprehensive Gröbner bases

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 2001 international symposium on Symbolic and algebraic computation table of contents

London, Ontario, Canada

Pages: 292 - 296

Year of Publication: 2001

ISBN:1-58113-417-7

Authors

Yosuke Sato	Ritsumeikan Univ., Japan
Akira Suzuki	Kinki Welfare Univ., Japan

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 0, Downloads (12 Months): 10, Citation Count: 3

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ABSTRACT

We show special types of comprehensive Gröbner bases can be defined and calculated as the applications of Gröbner bases in polynomial rings over Von Neumann regular rings.

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	SARACINO, D., AND WEISPFENNING, V. On algebraic curves over commutative regular rings. In Model Theory and Algebra, a memorial tribute to A.Robinson, Springer LNM (1975), vol. 498, pp. 307-387.
	2	SATO, Y. Application of Groebner basis in constraint of non-numerical domains. In The 2nd IMA CS Conference on Applications of Computer Algebra (1996).
	3	SATO, Y. Set Constraint Solver - Groebner bases for non-numerical domains -. In ISSAC'97 Poster Abstracts (1997), pp. 13-14.
	4	Yosuke Sato, A new type of canonical Gröbner bases in polynomial rings over Von Neumann regular rings, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.317-321, August 13-15, 1998, Rostock, Germany [doi>10.1145/281508.281658]
	5	SATO, Y., AND SUZUKI, A. Parallel Computation of Boolean GrSbner bases. In The Fourth Asian Technology Conference in Mathematics(ATCM 99), Proceedings (1999), pp. 265-274.
	6	SATO, Y., AND SUZUKI, A. GrSbner Bases in polynomial rings over Von Neumann regular rings - their applications - (Extended Abstract). In Proceedings of the Fourth Asian Symposium in Computer Mathematics(ASCM 2000),Lecture Notes Series on Computimg Vol.8, World Scientific (2000), pp. 59-62.
	7	Volker Weispfenning, Gröbner bases for polynomial ideals over commutative regular rings, Proceedings of the European Conference on Computer Algebra, p.336-347, June 02-05, 1987
	8	Volker Weispfenning, Comprehensive Gro¨bner bases, Journal of Symbolic Computation, v.14 n.1, p.1-29, July 1992 [doi>10.1016/0747-7171(92)90023-W]

CITED BY 3

	Akira Suzuki , Yosuke Sato, An alternative approach to comprehensive Gröbner bases, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.255-261, July 07-10, 2002, Lille, France
	Akira Suzuki , Yosuke Sato, An alternative approach to comprehensive Gröbner bases, Journal of Symbolic Computation, v.36 n.3-4, p.649-667, September 2003
	Yosuke Kurata , Masayuki Noro, Computation of discrete comprehensive Gröbner bases using modular dynamic evaluation, Proceedings of the 2007 international symposium on Symbolic and algebraic computation, July 29-August 01, 2007, Waterloo, Ontario, Canada