IDEMPOTENTS IN MATRIX-RINGS

Christopher Barnett; Victor  Camillo Jr

doi:10.1090/S0002-9939-1994-1246513-1

Back

Journal article

Open access

Peer reviewed

IDEMPOTENTS IN MATRIX-RINGS

Christopher Barnett and Victor Camillo Jr

Proceedings of the American Mathematical Society, Vol.122(4), pp.965-969

12/01/1994

DOI: 10.1090/S0002-9939-1994-1246513-1

Files and links (1)

url

https://doi.org/10.1090/S0002-9939-1994-1246513-1View

Published (Version of record) Open Access

Abstract

Let R be a commutative, von Neumann regular ring and Mn(R) the ring of n x n matrices over R. What are the idempotents in M(n)(R)? Our motivation is to think of R as the sort of ring that occurs in functional analysis, for example a ring of measurable functions. We show how to uniquely write down ah idempotents in M(n)(R) in terms of arbitrary parameters. The main theorem is stated in language to appeal to an audience wider than algebraists, but in a remark, we give a more refined statement for specialists.

Mathematics

Physical Sciences

Mathematics, Applied

Science & Technology

Details

Title: Subtitle: IDEMPOTENTS IN MATRIX-RINGS
Creators: Christopher Barnett
Victor Camillo Jr - Mathematics
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.122(4), pp.965-969
DOI: 10.1090/S0002-9939-1994-1246513-1
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Number of pages: 5
Language: English
Date published: 12/01/1994
Academic Unit: Mathematics
Record Identifier: 9984241039402771

Metrics

9 Record Views