Vol. 49, No. 1, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
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