Article contents
Structure of perfect rings
Published online by Cambridge University Press: 17 April 2009
Abstract
In the present note, we offer a simple characterization of perfect rings in terms of their components and socle sequences, which is subsequently used to establish a one-to-one correspondence between perfect rings and certain finite additive categories. This correspondence is effected by means of a matrix representation, which describes the way in which perfect rings are built from local perfect rings.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 2 , Issue 1 , February 1970 , pp. 117 - 124
- Copyright
- Copyright © Australian Mathematical Society 1970
References
- 2
- Cited by