query: Is interval arithmetic an integral domain?
positive_passages.docid: 17290
positive_passages.text: Solutions for dependency problem in interval arithmetic (remedy for nonexistence of additive inverses)
negative_passages.docid: 62134
negative_passages.text: Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
negative_passages.docid: 23242
negative_passages.text: Commutative integral domain with d.c.c. is a field
negative_passages.docid: 141156
negative_passages.text: The domain of $\ln(x)^{\ln(x)}$
negative_passages.docid: 87647
negative_passages.text: How to know if the graph is an interval graph?
negative_passages.docid: 151794
negative_passages.text: Can an ideal in a commutative integral domain be its own square?
negative_passages.docid: 134458
negative_passages.text: Isomorphisms preserving integral domains and fields
negative_passages.docid: 141659
negative_passages.text: Every field is an integral domain
negative_passages.docid: 140300
negative_passages.text: Does the interval $[0,1]$ contains more real numbers than $(0,2)$?
negative_passages.docid: 15380
negative_passages.text: Notation for intervals
negative_passages.docid: 111930
negative_passages.text: Domain of a Standard Parabola
negative_passages.docid: 119699
negative_passages.text: Examples of Cohen-Macaulay integral domains
negative_passages.docid: 94819
negative_passages.text: Prove that $\frac{\mathbb{C}[x,y]}{\langle x^2-y^2-1\rangle}$ is an integral domain such that all the nonzero prime ideals are maximal.
negative_passages.docid: 18887
negative_passages.text: Euclidean domain in which the quotient and remainder are always unique
negative_passages.docid: 28120
negative_passages.text: Are intervally constant analytic functions always constant?
negative_passages.docid: 93621
negative_passages.text: Prove that $\mathbb{Z}[\omega]$ is an integral domain
negative_passages.docid: 96132
negative_passages.text: $R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$