A Generalization of the Ring of Triangular Matrices
- 1 April 1961
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 18, 13-25
- https://doi.org/10.1017/s0027763000002208
Abstract
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—Keywords
This publication has 3 references indexed in Scilit:
- On the Dimension of Modules and Algebras, VII. Algebras with Finite-Dimensional Residue-AlgebrasNagoya Mathematical Journal, 1957
- On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary RingsNagoya Mathematical Journal, 1956
- On the Dimension of Modules and Algebras (III): Global DimensionNagoya Mathematical Journal, 1955