query: Multiplicative inverse of $4x+3$ in the ring $ \mathbb Z_{11}[x]/(x^2+1)$
positive_passages.docid: 145279
positive_passages.text: Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?
negative_passages.docid: 99835
negative_passages.text: Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
negative_passages.docid: 145561
negative_passages.text: About the additive group and the multiplicative group of a field
negative_passages.docid: 34424
negative_passages.text: Determining ring of integers for $\mathbb{Q}[\sqrt{17}]$
negative_passages.docid: 125719
negative_passages.text: Multiplicative inverse of a complex number.
negative_passages.docid: 83255
negative_passages.text: Finding inverse in non-commutative ring
negative_passages.docid: 71788
negative_passages.text: Prove existence of multiplicative inverse modulo p when p is prime
negative_passages.docid: 105363
negative_passages.text: $\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
negative_passages.docid: 19310
negative_passages.text: Identify the ring $\mathbb{Z}[x]/(2x)$
negative_passages.docid: 19112
negative_passages.text: Ring $R= \mathbb Z_3[x]/\langle x^6-1\rangle$
negative_passages.docid: 43683
negative_passages.text: Finding Inverse of 2 (mod m)
negative_passages.docid: 69721
negative_passages.text: $(a,b) \mathbin\# (c,d)=(a+c,b+d)$ and $(a,b) \mathbin\&(c,d)=(ac-bd(r^2+s^2), ad+bc+2rbd)$. Multiplicative inverse?
negative_passages.docid: 35034
negative_passages.text: Multiplicative inverses for $Z_n$
negative_passages.docid: 126331
negative_passages.text: Associative ring with identity, inverses, divisors of zero and Artinianity
negative_passages.docid: 77209
negative_passages.text: Reducibility of $x^3+nx+1$ over $ \Bbb Z$
negative_passages.docid: 57846
negative_passages.text: Multiplicative inverse in $\operatorname{GF}(2^8)$?
negative_passages.docid: 77903
negative_passages.text: Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$