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Unification in commutative theories, Hilbert's basis theorem, and Gröbner bases
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Volume 40 ,  Issue 3  (July 1993) table of contents
Pages: 477 - 503  
Year of Publication: 1993
ISSN:0004-5411
Author
Franz Baader  German Research Center for Artificial Intelligence (DFKI), Saarbru¨cken, Germany
Publisher
ACM  New York, NY, USA
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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
 
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~BAADER, F. Unification in varieties of idempotent semigroups. Semigroup Forum 36 (1987), ~127-145.
 
4
 
5
 
6
 
7
8
 
9
~BUCHBERGER, B. Gr6bner bases: An algorithmic method in polynomial ideal theory. In ~Recent Trends in Multidimensional System Theory, N. K. Bose, ed., Reidel, Dordrecht, Ger- ~many, 1985, pp. {84-232.
 
10
 
11
~COHN.P.MUniversal Algebra. Harper and row ,New york,1965.
12
 
13
~DICKSON, L. E. Finiteness of the odd perfect and primitive abundant numbers with n ~distinct factors. Amer. J. Math. 35 (1913), 413 422.
 
14
 
15
 
16
 
17
 
18
~FREYD, P. Abelian Categories. Harper and Row, New York, 1964.
19
 
20
~GRXTZER, G. Universal Algebra. Van Nostrand Company, Princeton, N.J., 1968.
 
21
~HEROLD, A. Combination of unification algorithms in equational theories, Ph.D. Disserta- ~tion, Universitiit Kaiserslautern, 1987.
 
22
~HERRHCH, H., AND STRECKER, G.E. Category Theory. Allyn and Bacon, Boston, Mass., 1973.
23
 
24
~JACOBSON, N. Basic Algebra H. Freeman and Company, San Francisco, Calif., 1980.
 
25
~JAFFAR, J., LASSEZ, J. L., AND MAHER, M. J. A theory of complete logic programs with ~equality. J. Logic Prog. 1 (1984), 175-184.
 
26
 
27
 
28
~KANDRI-RODY, A., AND KAPUR, D. An algorithms for computing the Gr6bner basis of a ~polynomial ideal over a Euclidean ring. General Electric Research and Development Report ~No. 84CRD045. General Electric, Schnectady, N.Y.
 
29
 
30
 
31
 
32
~LANKFORD, D., BUTLER, G., AND BRADY, B. Abelian group unification algorithms for ~elementary terms. Cont. Math. 29 (1984), 193-199.
 
33
~LEEB, K., AND PIRmLO, G. Shuffle-compatible total orders. Ann. Mat. PuraAppl. 153 (1988), ~1-26.
 
34
~LIVESEY, M., AND SIEKMANN, J. Unification in sets and multisets. SEKI Tech. Rep. ~universitiit Karlsruhe.
 
35
~MARTIN, U. A geometrical approach to multiset orderings. Tech. Rep. Univ. London, ~London, England, 1988.
 
36
 
37
~NUTT, W. Talk at the second workshop on unification (Val d' Ajol, France), 1988.
 
38
 
39
~PLOTKIN, G. Building in equational theories. Mach. hzt. 7 (1972), 73-90.
 
40
 
41
 
42
 
43
44
 
45
 
46
~TREVISAN, G. Classificazione dei semplici ordinamenti di un gruppo libero commutativo con ~m generatori. Rendiconti clel Semhzado Matematico della Universita di Padot,a 22 (1953), 143.
 
47
~ZAICEVA, M.I. On the set of ordered Abelian groups. Uspehi Matern. Nauk (N.S.) 8 0953), ~ 135-137.



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Unification in commutative theories is reduced to solving homogeneous linear equations in ZX1,&ldots;,Xn . A series of algebraic theorems is   more...