query: Checking a solution to a problem about non-zero divisors in an associative algebra having multiplicative inverses
positive_passages.docid: 18066
positive_passages.text: Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
negative_passages.docid: 37960
negative_passages.text: Zero Divisors in Direct Product of Rings
negative_passages.docid: 127304
negative_passages.text: Understanding the algebra of polynomials on a linear space
negative_passages.docid: 146980
negative_passages.text: Zero divisors of $\mathbb{Z}×\mathbb{Z}×\mathbb{Z}$
negative_passages.docid: 57846
negative_passages.text: Multiplicative inverse in $\operatorname{GF}(2^8)$?
negative_passages.docid: 33052
negative_passages.text: How to prove $\bar{m}$ is a zero divisor in $\mathbb{Z}_n$ if and only if $m,n$ are not coprime
negative_passages.docid: 125719
negative_passages.text: Multiplicative inverse of a complex number.
negative_passages.docid: 151251
negative_passages.text: A simple algebra that is not semisimple
negative_passages.docid: 44879
negative_passages.text: Multiplicative inverse questions
negative_passages.docid: 44405
negative_passages.text: Prove XOR is commutative and associative?
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: 145279
negative_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: 151225
negative_passages.text: Solved Problems in Algebraic Number Theory
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negative_passages.text: Inverting noninvertible elements in a bigger ring.
negative_passages.docid: 39788
negative_passages.text: $a+1,a-1$ invertible for nilpotent element
negative_passages.docid: 91962
negative_passages.text: In a ring $a*a=0$ then $a+a=0$
negative_passages.docid: 107900
negative_passages.text: A ring which has many distinct left inverses