|
|||||
|
|
|
|
|
|
|
|
|
Embeddings in matrix
rings
Shimshon A. Amitsur |
|
Vol. 36 (1971), No. 1, 21–29
|
Abstract |
|
For a fixed integer n ≧ 1, and a given ring R there exists a homomorphism ρ;R → Mn(K),K a commutative ring such that every homomorphism of R into an n × n matrix ring Mn(H) over a commutative ring can be factored through ρ by a homomorphism induced by a mapping η : K → H. The ring K is uniquely determined up to isomorphisms. Further properties of K are given. |
Mathematical Subject Classification
Primary: 16.48
|
Milestones
Received: 5 March 1970
Published: 1 January 1971
|
Authors |
| Shimshon A. Amitsur | |
|
