query: Zero divisor for polynomial ring
positive_passages.docid: 17926
positive_passages.text: Zero divisor in $R[x]$
negative_passages.docid: 51593
negative_passages.text: Every finite commutative ring with no zero divisors contains a multiplicative identity?
negative_passages.docid: 26805
negative_passages.text: Non-Noetherian 0-dimensional ring
negative_passages.docid: 38028
negative_passages.text: finitely generated k-algebra and polynomial ring
negative_passages.docid: 82953
negative_passages.text: In a ring with no zero-divisors, for $(m,n) =1$, $a^m = b^m$ and $a^n = b^n$ $\iff a =b$
negative_passages.docid: 85633
negative_passages.text: Rings of polynomials whose (partial) derivatives vanish are Noetherian?
negative_passages.docid: 99000
negative_passages.text: No polynomial with integer coefficients satisfies the conditions
negative_passages.docid: 49121
negative_passages.text: Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
negative_passages.docid: 114254
negative_passages.text: Zero divisors in $A[x_1,x_2,\dots,x_r]$
negative_passages.docid: 60391
negative_passages.text: Ideal Generated by Three Elements in Polynomial Ring
negative_passages.docid: 119297
negative_passages.text: Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
negative_passages.docid: 33696
negative_passages.text: A polynomial is zero if it zero on infinite subsets
negative_passages.docid: 75120
negative_passages.text: Polynomial arithmetic uses coefficient ring arithmetic
negative_passages.docid: 91962
negative_passages.text: In a ring $a*a=0$ then $a+a=0$
negative_passages.docid: 108896
negative_passages.text: Prime ideal in a polynomial ring over an integrally closed domain
negative_passages.docid: 154530
negative_passages.text: Rings whose elements are partitioned between units and zero-divisors.
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring