query: Invertible Elements of $\mathbb Z[i] \subseteq \mathbb C$
positive_passages.docid: 31382
positive_passages.text: Units of Gaussian integers
negative_passages.docid: 129827
negative_passages.text: Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
negative_passages.docid: 138258
negative_passages.text: What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?
negative_passages.docid: 83595
negative_passages.text: Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
negative_passages.docid: 113668
negative_passages.text: Uncountable chain of subsets of $\mathbb N$
negative_passages.docid: 127764
negative_passages.text: Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
negative_passages.docid: 64077
negative_passages.text: $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
negative_passages.docid: 80616
negative_passages.text: A ring with few invertible elements
negative_passages.docid: 18540
negative_passages.text: Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
negative_passages.docid: 108550
negative_passages.text: Elements of $\mathbb Q(2^{1/3})$
negative_passages.docid: 135611
negative_passages.text: Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
negative_passages.docid: 7034
negative_passages.text: Prove that $A+I$ is invertible if $A$ is nilpotent
negative_passages.docid: 53113
negative_passages.text: $I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
negative_passages.docid: 79056
negative_passages.text: Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$
negative_passages.docid: 90273
negative_passages.text: Primitive roots of the unity in $\mathbb C$
negative_passages.docid: 5758
negative_passages.text: Prove that $I+\lambda A$,$I+\lambda B$,$I+\lambda C$ are invertible and A=B=C
negative_passages.docid: 1576
negative_passages.text: Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.