query: Example of divisible module that is not injective
positive_passages.docid: 23735
positive_passages.text: Divisible module which is not injective
negative_passages.docid: 111935
negative_passages.text: Irreducible but not prime
negative_passages.docid: 114480
negative_passages.text: Example of a domain where all irreducibles are primes and that is not a GCD domain
negative_passages.docid: 22529
negative_passages.text: The support of a non finitely generated module
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms
negative_passages.docid: 35401
negative_passages.text: Examples of finite groups that are not a semidirect product
negative_passages.docid: 76501
negative_passages.text: How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
negative_passages.docid: 138481
negative_passages.text: $f(x)=x/1$ is not injective?
negative_passages.docid: 111679
negative_passages.text: Example of a ring without unity that has a subring with unity?
negative_passages.docid: 42774
negative_passages.text: Examples of involutions on $\mathbb{R}$
negative_passages.docid: 11541
negative_passages.text: Examples of a non-commutative division ring
negative_passages.docid: 117793
negative_passages.text: Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.
negative_passages.docid: 132386
negative_passages.text: Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
negative_passages.docid: 98731
negative_passages.text: Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
negative_passages.docid: 53335
negative_passages.text: Why isn't $\mathbb{C}[x,y,z]/(xz-y)$ a flat $\mathbb{C}[x,y]$-module
negative_passages.docid: 128489
negative_passages.text: Linearly independent elements are less than generators in a module.
negative_passages.docid: 15128
negative_passages.text: Example of non-decomposable ideal