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Results tagged with computer-algebra
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user 5495
Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.
5
votes
1
answer
1k
views
Is there an algorithm to decide if an ideal contains monomials?
Let $I\subset k[x_1,\dots,x_n]$ be an ideal in a polynomial ring in commuting variables. Is there a procedure to decide if $I$ contains a monomial and possibly to find one?
Gröbner bases come to min …
- 1,961
3
votes
Algorithm to decide if ideal is principal
In the graded situation the concept of "minimal generators" is well-defined. Just think about the minimal generators as part of the minimal free resolution. Their number is the first total Betti num …
- 1,961
3
votes
Accepted
Recommendations for binomial system solver
Let $I$ be the ideal generated by your binomial equations after clearing denominators.
As a general rule with binomial equations, disregard coefficients in the first run (see here for why and how: ht …
- 1,961