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On reflexivity of direct sums
Author(s):
V.
P.
Camillo;
K.
R.
Fuller
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2855-2862.
MSC (1991):
Primary 16D20, 16G99, 16P10;
Secondary 47A15
Posted:
April 28, 2000
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Abstract:
Necessary and sufficient conditions are presented to insure that the direct sum of two reflexive representations of a finite dimensional algebra is reflexive, and it is shown that for each such algebra, there is an integer  such that the direct sum of  copies of each of its representations is reflexive. Given a ring  our results are actually presented in the more general setting of  -representations of a ring 
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- N. Snashall, Reflexivity of modules over QF-3 algebras, Comm. in Algebra 26 (1998), 4233-4242. CMP 99:05
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Additional Information:
V.
P.
Camillo
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Email:
camillo@math.uiowa.edu
K.
R.
Fuller
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Email:
kfuller@math.uiowa.edu
DOI:
10.1090/S0002-9939-00-05331-4
PII:
S 0002-9939(00)05331-4
Received by editor(s):
September 10, 1998
Received by editor(s) in revised form:
November 10, 1998
Posted:
April 28, 2000
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
2000,
American Mathematical Society
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