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Regular modules

Published in Proceedings of the American Mathematical Society • Jan 1, 1972
NobleIDNI3P32W91R85S19
Authors:
David J. Fieldhouse

Abstract

has shown that over a commutative regular ring every finitely generated submodule of an -generated module is -generated, and then has asked if this result holds for noncommutative regular rings. Here the result is shown for regular modules over any associative ring, which answers Pierce's question s...

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