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.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Rings with the double centralizer property;Journal of Algebra;1972-09
2. The Dyeing of Acrylic Fibres;Review of Progress in Coloration and Related Topics;1972-05