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Results tagged with polynomials
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user 117693
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Lifting irreducibility of polynomials over an integral domain to the quotient field
Suppose $R$ is an integral domain with quotient field $K$ and $f \in R[x]$ is an irreducible polynomial.
Under what conditions on $R$ and $f$ can we conclude that $f$ is irreducible in $K[x]$?
It is …
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