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A survey on the method of Gröbner bases for solving problems in connection with systems of multi-variate polynomials. (English) Zbl 0645.68057

Symbolic and algebraic computation by computers, 2nd RIKEN Int. Symp., Wako-shi/Jap. 1984, Ser. Comput. Sci. 2, 69-83 (1985).
[For the entire collection see Zbl 0637.00011.]
This is a shortend version of chapter 6 of the author’s article in “Multidimensional systems theory” [Math. Appl., D. Reidel Publ. Co. 16, 184-232 (1985; Zbl 0587.13009)].

MSC:

68W30 Symbolic computation and algebraic computation
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
12-04 Software, source code, etc. for problems pertaining to field theory
13-04 Software, source code, etc. for problems pertaining to commutative algebra
13A15 Ideals and multiplicative ideal theory in commutative rings
11R09 Polynomials (irreducibility, etc.)