On reflexivity of direct sums

V. P Camillo; K. R Fuller

doi:10.1090/S0002-9939-00-05331-4

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Journal article

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Peer reviewed

On reflexivity of direct sums

V. P Camillo and K. R Fuller

Proceedings of the American Mathematical Society, Vol.128(10), pp.2855-2862

2000

DOI: 10.1090/S0002-9939-00-05331-4

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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 k such that the direct sum of k copies of each of its representations is reflexive. Given a ring Δ, our results are actually presented in the more general setting of Δ-representations of a ring R.

Details

Title: Subtitle: On reflexivity of direct sums
Creators: V. P Camillo
K. R Fuller
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.128(10), pp.2855-2862
DOI: 10.1090/S0002-9939-00-05331-4
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 2000
Academic Unit: Mathematics
Record Identifier: 9983985849202771

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