Papers by Dave Benson and Wayne Wheeler
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dvi;
abstract
The Green correspondence for infinitely generated modules
Journal of the L.M.S. (2) 63 (2001), 69--82.
dvi;
abstract
Direct sum decompositions of infinitely generated modules
Trans. Amer. Math. Soc. 351 (1999), 3843-3855.
See also
Benson
Wheeler