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A Generalization of the Ring of Triangular Matrices

Published online by Cambridge University Press:  22 January 2016

Stephen U. Chase
Stephen U. Chase*
Affiliation:
University of Chicago and Princeton University
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Let R be a ring with unit, and e be an idem potent in R such that (1 - e)Re = 0. In this note we shall explore the relationships between homological properties of R and those of its subring eRe.

Examples of such rings are abundant, the most common being perhaps the ring R of all two-by-two upper triangular matrices over a field, where—

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 18 , April 1961 , pp. 13 - 25
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961

References

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