query: In a commutative unital ring, can we find invertible codivisors for mutual divisors?
positive_passages.docid: 16023
positive_passages.text: Are associates unit multiples in a commutative ring with $1$?
negative_passages.docid: 74441
negative_passages.text: Zero divisors in matrix rings
negative_passages.docid: 99567
negative_passages.text: Proving that an inverse ring homomorphism of an ideal is an ideal?
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 98818
negative_passages.text: Quotient ring of a localization of a ring
negative_passages.docid: 14055
negative_passages.text: How to show that a finite commutative ring without zero divisors is a field?
negative_passages.docid: 14873
negative_passages.text: $1+a$ and $1-a$ in a ring are invertible if $a$ is nilpotent
negative_passages.docid: 118911
negative_passages.text: Classifying Unital Commutative Rings of Order $p^2$
negative_passages.docid: 21840
negative_passages.text: Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
negative_passages.docid: 51428
negative_passages.text: Do these two observations suffice to show that a finite boolean ring must be of the form $\mathbb{Z}_2\times\cdots\times\mathbb{Z}_2$?
negative_passages.docid: 92822
negative_passages.text: Finite number of elements generating the unit ideal of a commutative ring
negative_passages.docid: 105913
negative_passages.text: Calculations in quotient rings
negative_passages.docid: 66134
negative_passages.text: Sufficiently many idempotents and commutativity
negative_passages.docid: 85633
negative_passages.text: Rings of polynomials whose (partial) derivatives vanish are Noetherian?
negative_passages.docid: 100954
negative_passages.text: Restricting a Weil divisor to a local scheme
negative_passages.docid: 79650
negative_passages.text: Division Rings and Division Algebras
negative_passages.docid: 19838
negative_passages.text: Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R