query: Matrices with ideals
positive_passages.docid: 16602
positive_passages.text: Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
negative_passages.docid: 74537
negative_passages.text: Maximal Ideals in $K[y]$
negative_passages.docid: 63260
negative_passages.text: Matrices whose Linear Combinations are All Singular
negative_passages.docid: 98631
negative_passages.text: Postive-semidefiniteness of matrix with entries $1/(a_i+a_j)$
negative_passages.docid: 142863
negative_passages.text: Show that every ideal of the matrix ring $M_n(R)$ is of the form $M_n(I)$ where $I$ is an ideal of $R$
negative_passages.docid: 16945
negative_passages.text: Finding the Ideals of a Direct Product of Rings
negative_passages.docid: 78298
negative_passages.text: On the nilpotence of the matrix $AB-BA$
negative_passages.docid: 34536
negative_passages.text: Columns of matrix $A_{m \times n}$ span $\mathbb{R}^{m}$
negative_passages.docid: 50445
negative_passages.text: Explaining the product of two ideals
negative_passages.docid: 19883
negative_passages.text: Prime ideals of the matrix ring
negative_passages.docid: 37162
negative_passages.text: Prove that matrices have equal rank.
negative_passages.docid: 144250
negative_passages.text: subideals of an ideal
negative_passages.docid: 13948
negative_passages.text: Matrix in a matrix
negative_passages.docid: 41629
negative_passages.text: Structure of ideals in the product of two rings
negative_passages.docid: 587
negative_passages.text: Ideal Generated by the Union of Two Ideals
negative_passages.docid: 158860
negative_passages.text: Subsetting matrices
negative_passages.docid: 116883
negative_passages.text: About ideals in a ring which is a $k$ vector space