query: Zero divisors in $\mathbb{Z} / b\mathbb{Z}$
positive_passages.docid: 21840
positive_passages.text: Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
negative_passages.docid: 46821
negative_passages.text: Finding roots in $\mathbb{Z}_p$
negative_passages.docid: 16559
negative_passages.text: Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$
negative_passages.docid: 116526
negative_passages.text: Finite ring has only zero divisors and units
negative_passages.docid: 114609
negative_passages.text: Does the Banach algebra $L^1(\mathbb{R})$ have zero divisors?
negative_passages.docid: 139934
negative_passages.text: In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?
negative_passages.docid: 116970
negative_passages.text: On the number divisors of a number
negative_passages.docid: 30752
negative_passages.text: Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
negative_passages.docid: 6837
negative_passages.text: How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
negative_passages.docid: 118452
negative_passages.text: how to prove $\mathbb Z_n$ has divisors of zero if and only if $n$ is not prime
negative_passages.docid: 18066
negative_passages.text: Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
negative_passages.docid: 154322
negative_passages.text: Localizing the zeros of $z^4+z+1$
negative_passages.docid: 122914
negative_passages.text: An integer $n$, such that $nx = 0$, where $x$ belongs to the quotient group $\Bbb Q/\Bbb Z$
negative_passages.docid: 69373
negative_passages.text: Prove that $(0)$ is a radical ideal in $\mathbb{Z}/n\mathbb{Z}$ iff $n$ is square free
negative_passages.docid: 9794
negative_passages.text: Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
negative_passages.docid: 19230
negative_passages.text: Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
negative_passages.docid: 146304
negative_passages.text: prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero