query: Finding the right ideals of $M_{n\times n}(\mathbb{F})$ (matrices over a field $\mathbb{F}$)
positive_passages.docid: 65464
positive_passages.text: What are the left and right ideals of matrix ring? How about the two sided ideals?
negative_passages.docid: 1719
negative_passages.text: Ideals in the ring of Gaussian integers
negative_passages.docid: 57515
negative_passages.text: Similar matrices and field extensions
negative_passages.docid: 110984
negative_passages.text: Ideals and prime ideals in a commutative ring.
negative_passages.docid: 148788
negative_passages.text: Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
negative_passages.docid: 50445
negative_passages.text: Explaining the product of two ideals
negative_passages.docid: 93723
negative_passages.text: Find all the maximal ideals in the ring $\mathbb{R}[x]$.
negative_passages.docid: 74796
negative_passages.text: Extension of intersection of ideals
negative_passages.docid: 109691
negative_passages.text: When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
negative_passages.docid: 54916
negative_passages.text: Maximal ideal in commutative ring
negative_passages.docid: 150911
negative_passages.text: Prove that the ring is Artinian and find a composition series of ideals
negative_passages.docid: 147871
negative_passages.text: How do the prime ideals of $\mathbb{Z}_{k}$ look like?
negative_passages.docid: 98507
negative_passages.text: $\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
negative_passages.docid: 120181
negative_passages.text: The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
negative_passages.docid: 111189
negative_passages.text: Intersection of all maximal ideals containing a given ideal
negative_passages.docid: 87103
negative_passages.text: Quick question about ideals of field $F$ in $F[x]$ are principal.
negative_passages.docid: 47134
negative_passages.text: Ideals generated by two elements