query: expressing ideals of matrix rings
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: 60391
negative_passages.text: Ideal Generated by Three Elements in Polynomial Ring
negative_passages.docid: 28313
negative_passages.text: Intermediate ring between a field and an algebraic extension.
negative_passages.docid: 155745
negative_passages.text: Ideals of $\mathbb{Z}[X]$
negative_passages.docid: 47134
negative_passages.text: Ideals generated by two elements
negative_passages.docid: 10908
negative_passages.text: Associated elements in a ring
negative_passages.docid: 146801
negative_passages.text: Primary decomposition of an ideal
negative_passages.docid: 108975
negative_passages.text: The simple modules of upper triangular matrix algebras.
negative_passages.docid: 13606
negative_passages.text: Prove that $K$ is isomorphic to a subfield of the ring of $n\times n$ matrices over $F$.
negative_passages.docid: 61383
negative_passages.text: How do I see that every left ideal of a square matrix ring over a field is principal?
negative_passages.docid: 38817
negative_passages.text: Why is the ring of matrices over a field simple?
negative_passages.docid: 40705
negative_passages.text: If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
negative_passages.docid: 74441
negative_passages.text: Zero divisors in matrix rings
negative_passages.docid: 1425
negative_passages.text: The Chinese Remainder Theorem for Rings.
negative_passages.docid: 24247
negative_passages.text: Ring Inside an Algebraic Field Extension
negative_passages.docid: 33245
negative_passages.text: Show that every ideal of the ring $\mathbb Z$ is principal
negative_passages.docid: 110984
negative_passages.text: Ideals and prime ideals in a commutative ring.