|
|||||
|
|
|
|
|
|
|
|
|
Homomorphisms of matrix
rings into matrix rings
Amos A. Kovacs |
|
Vol. 49 (1973), No. 1, 161–170
|
Abstract |
|
Let V n(Rn) be the universal ring with respect to embeddings of the matrix ring Rn into n × n matrix rings over commutative rings. A construction and a representation is given for this ring. As a main tool in the construction, it is proved that every R homomorphism of Rn,R a commutative ring, is the restriction of an inner automorphism of Un, for some U ⊇ R. Using this, a necessary and sufficient condition for n2 matrices in Rn to be matrix units is given. |
Mathematical Subject Classification
Primary: 16A42
|
Milestones
Received: 5 July 1972
Published: 1 November 1973
|
Authors |
| Amos A. Kovacs | |
|
