A Generalization of the Ring of Triangular Matrices-Reference-Cited by-同舟云学术

A Generalization of the Ring of Triangular Matrices

Published:1961-04 Issue: Volume:18 Page:13-25
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Chase Stephen U.

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—

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings

2. A Nearly Semi-Simple Ring;Nakano;Commentatorium Mathematicorum Universitatis Sancti Pauli,1959

3. On the Dimension of Modules and Algebras, VII. Algebras with Finite-Dimensional Residue-Algebras

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