query: Prove / Disprove : if $a \neq 0$ and is not invertible so $a$ is a zero divisor
positive_passages.docid: 154530
positive_passages.text: Rings whose elements are partitioned between units and zero-divisors.
negative_passages.docid: 146980
negative_passages.text: Zero divisors of $\mathbb{Z}×\mathbb{Z}×\mathbb{Z}$
negative_passages.docid: 134963
negative_passages.text: Proving a non-prime (composite) number $> 1$ has a divisor $d \leq\sqrt q$
negative_passages.docid: 122076
negative_passages.text: A one line proof that one is zero using Mathematica 10
negative_passages.docid: 113359
negative_passages.text: Proving that $x^2 + 4$ is not divisible by $3$
negative_passages.docid: 79957
negative_passages.text: If $R$ is an infinite ring, then $R$ has either infinitely many zero divisors, or no zero divisors
negative_passages.docid: 158343
negative_passages.text: how to prove an element is non-zero in a tensor-product
negative_passages.docid: 68807
negative_passages.text: How to show that the ring $S/A$ has no zero divisors? (Hungerford, Algebra, Problem 12, Chapter III, Section 2)
negative_passages.docid: 81818
negative_passages.text: Prove or disprove : $\det(A^k + B^k) \geq 0$
negative_passages.docid: 57981
negative_passages.text: Alternative proof of $a\times0= 0$
negative_passages.docid: 8360
negative_passages.text: $\sum_i x_i^n = 0$ for all $n$ implies $x_i = 0$
negative_passages.docid: 3433
negative_passages.text: Proof if $a \vec v = 0$ then $a = 0$ or $\vec v = 0$
negative_passages.docid: 42809
negative_passages.text: How can we show that $(I-A)$ is invertible?
negative_passages.docid: 36998
negative_passages.text: In $Ax=b$. If $A$ is not invertible there are no solutions or infinity. How to determine what the case is?
negative_passages.docid: 86125
negative_passages.text: If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
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: 76790
negative_passages.text: Condition to guarantee $f=0$ on $[a,b]$