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Row and column finite matrices
Author(s):
Pace
P.
Nielsen
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2689-2697.
MSC (2000):
Primary 16S50;
Secondary 16P40
Posted:
February 9, 2007
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Abstract:
Consider the ring of all  column finite matrices over a ring  . We prove that each such matrix is conjugate to a row and column finite matrix if and only if  is right Noetherian and  is countable. We then demonstrate that one can perform this conjugation on countably many matrices simultaneously. Some applications and limitations are given.
References:
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Additional Information:
Pace
P.
Nielsen
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Email:
pace_nielsen@hotmail.com
DOI:
10.1090/S0002-9939-07-08790-4
PII:
S 0002-9939(07)08790-4
Keywords:
Row and column finite matrices,
endomorphism ring,
vector space
Received by editor(s):
November 19, 2005
Received by editor(s) in revised form:
May 12, 2006
Posted:
February 9, 2007
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2007,
American Mathematical Society
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