query: Show that $ann(M)$ is an ideal in $R$.
positive_passages.docid: 23392
positive_passages.text: The annihilator of a module is an ideal
negative_passages.docid: 131943
negative_passages.text: How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
negative_passages.docid: 68449
negative_passages.text: $\operatorname{Supp}(M)=V(\operatorname{Ann}M)$ if $M$ is finitely generated
negative_passages.docid: 95031
negative_passages.text: Find generators of the ideal of an algebraic set
negative_passages.docid: 27167
negative_passages.text: Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
negative_passages.docid: 47134
negative_passages.text: Ideals generated by two elements
negative_passages.docid: 87103
negative_passages.text: Quick question about ideals of field $F$ in $F[x]$ are principal.
negative_passages.docid: 69352
negative_passages.text: Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
negative_passages.docid: 129371
negative_passages.text: Maximal ideals in the ring of real functions on $[0,1]$
negative_passages.docid: 29126
negative_passages.text: Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
negative_passages.docid: 111114
negative_passages.text: Prove that an ideal in $k[x,y]$ is a prime ideal
negative_passages.docid: 144572
negative_passages.text: Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
negative_passages.docid: 77382
negative_passages.text: Left ideals of $M_n(K)$
negative_passages.docid: 50809
negative_passages.text: Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set
negative_passages.docid: 50445
negative_passages.text: Explaining the product of two ideals
negative_passages.docid: 464
negative_passages.text: Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
negative_passages.docid: 129759
negative_passages.text: Must an ideal contain the kernel for its image to be an ideal?