Gilles Labonté
Abstract
We now have a program to solve automatically the following problem. Let one be given a set of equations:[EQUATION]in which the p's are polynomials, with coefficients in a skew-field K, and in which the unknowns m1, m2,..., mn are generally non-intercommuting but can also intercommute. Find the possible representations for the ring of polynomials generated by the m's; Eqs (1) being assumed to define a finite ring.
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Digital Library
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- Labonté, G.: "On the solution of matrix equations, example: application to invariant equations", to appear shortly in J. Comp. Phys. Google ScholarDigital Library
- Labonté, G.: "A method of solution of polynomial equations defining finite rings", sent for publication.Google Scholar
- Leech, J.: "Coset enumeration". In "Computational Problems in Abstract Algebra (Proc. Oxford Conference of 1967). Leech, J. Ed., Pergamon Press, Oxford, 1970, pp. 21--35.Google Scholar
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Index Terms
- Report on a program for solving polynomial equations in non-commuting variables
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