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Sep
3
asked Distinct-degree factorization in finite fields
Sep
2
comment Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$
Due to the definition of minimal polynomial to make it unique.
Sep
2
accepted Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$
Sep
2
revised Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$
added 12 characters in body; edited title
Sep
2
asked Minimal polynomial of $i\frac{\sqrt{3}}{2}+\frac{1}{2}$
Sep
2
awarded  Promoter
Sep
1
accepted Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$
Sep
1
asked Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$
Aug
31
revised Computable Criteria to check whether a given basis is a Gröbner Basis
tags
Aug
31
asked Computable Criteria to check whether a given basis is a Gröbner Basis
Aug
30
accepted Quotient ring of a polynomial ideal with two variables
Aug
30
comment Quotient ring of a polynomial ideal with two variables
Thanks for the great answer! If I understand you correctly I assume all the equivalence classes are of the form $[a \cdot 1], [a \cdot y], [a \cdot y^2]$ with $a \in \mathbb{C}$. Thus, $\operatorname{dim}_{\mathbb{C}}\mathbb{C}[x,y]/I = 3$?
Aug
30
asked Quotient ring of a polynomial ideal with two variables
Aug
30
accepted Reduced Gröbner Basis
Aug
30
asked Reduced Gröbner Basis
Aug
28
accepted Describing the ideals for which $\operatorname{dim}_F(F[x,y)]/I) = 4$
Aug
27
awarded  Autobiographer
Aug
27
comment Solving polynomials in $\mathbb{Q}[X]$ exactly
There algorithms for addition, multiplication and inverses of interval representations. Unfortunately, they have polynomial complexity which can be slow for this basic operations. See chapter 8 of Mishra's "Algorithmic Algebra" about real algebraic numbers.
Aug
27
awarded  Suffrage
Aug
27
awarded  Teacher