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On Representable Linearly Compact Modules
Nguyen Tu Cuong and Le Thanh Nhan
Proceedings of the American Mathematical Society
Vol. 130, No. 7 (Jul., 2002), pp. 1927-1936
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2699794
Page Count: 10
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For a flat R-module F, we prove that HomR(F,-) is a functor from the category of linearly compact R-modules to itself and is exact. Moreover, HomRR(F, M) is representable when M is linearly compact and representable. This gives an affirmative answer to a question of L. Melkersson (1995) for linearly compact modules without the condition of finite Goldie dimension. The set of attached prime ideals of the co-localization HomR(RS, M) of a linearly compact representable R-module M with respect to a multiplicative set S in R is described.
Proceedings of the American Mathematical Society © 2002 American Mathematical Society