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Structure of perfect rings

Published online by Cambridge University Press:  17 April 2009

Vlastimil Dlab
Vlastimil Dlab
Affiliation:
Carleton University, Ottawa, Canada.
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Abstract

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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

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