query: Embedding of fields in matrix rings
positive_passages.docid: 25793
positive_passages.text: Extension fields isomorphic to fields of matrices
negative_passages.docid: 149856
negative_passages.text: Image of ring homomorphism is a subring
negative_passages.docid: 125647
negative_passages.text: Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
negative_passages.docid: 78412
negative_passages.text: Representing a countable field by $\Bbb N$ [transport of algebraic structure]
negative_passages.docid: 31729
negative_passages.text: Tensor products of simple modules over algebras
negative_passages.docid: 126127
negative_passages.text: A field extension of prime degree
negative_passages.docid: 72560
negative_passages.text: Eigenspace of the companion matrix of a monic polynomial
negative_passages.docid: 80538
negative_passages.text: Fields extensions over isomorphic fields of different degrees
negative_passages.docid: 123410
negative_passages.text: Find dimension of Commuting matrices over field of prime elements
negative_passages.docid: 46843
negative_passages.text: A ring without the Invariant Basis Number property
negative_passages.docid: 19883
negative_passages.text: Prime ideals of the matrix ring
negative_passages.docid: 20613
negative_passages.text: Units (invertibles) of polynomial rings over a field
negative_passages.docid: 129438
negative_passages.text: Gaussian Integers and Quotient Rings
negative_passages.docid: 146617
negative_passages.text: A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
negative_passages.docid: 74663
negative_passages.text: Is $\mathbb{R}$ an algebraic extension of some proper subfield?
negative_passages.docid: 146341
negative_passages.text: Finding all ring homomorphisms from a field to itself
negative_passages.docid: 136389
negative_passages.text: Finding an isomorphic subring of matrices