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Results tagged with ra.rings-and-algebras
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user 34180
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
5
votes
Can Schwartz-Zippel be formulated for commutative rings instead of fields?
See Section 4 in "On Zeros of a Polynomial in a Finite Grid" to see how Schwartz-Zippel lemma and many similar results on zeros of polynomials work for arbitrary commutative rings as long as the "grid …
- 1,197
0
votes
Polynomials of low degree that clone polynomials of higher degree
Here's a very general result that solves your problem.
Let $F$ be a field, and let $A = A_1 \times \dots \times A_n$ be a finite grid in $F^n$. A polynomial $P \in F[t_1, \dots, t_n]$ is called $A$- …
- 1,197