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Results tagged with ac.commutative-algebra
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user 136356
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
2
answers
274
views
Modulo $x^2 + y^2 - 1$, is every homogeneous polynomial that is a square of a polynomial, ne...
I am hoping this question is alright for Math Overflow. I didn't get a definitive solution in Math Stack Exchange.
Let $f(x, y) \in \mathbb{R}[x, y]$ be a homogeneous polynomial with real coefficients …
- 331
-3
votes
1
answer
201
views
can the square of a polynomial be written as a sum of squares of polynomials with only even ...
Let $f$ be a polynomial with real coefficients in several indeterminates $x_1, \dots, x_n$. Suppose that
$$ f = g^2 $$
for some polynomial $g$.
Is it true that we can find polynomials $h_1, \dots, h_m …
- 331