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Volume 34 - October 1991

Contents

Page 3 of 3

Research Article

  • Modules whose closed submodules are finitely generated

  • Nguyen V. Dung
  • Published online by Cambridge University Press:
    20 January 2009, pp. 161-166
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  • A module M is called a CC-module if every closed submodule of M is cyclic. It is shown that a cyclic module M is a direct sum of indecomposable submodules if all quotients of cyclic submodules of M are CC-modules. This theorem generalizes a recent result of B. L. Osofsky and P. F. Smith on cyclic completely CS-modules. Some further applications are given for cyclic modules which are decomposed into projectives and injectives.

Book Reviews

Front matter

  • PEM volume 34 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Book Reviews

Back matter

  • PEM volume 34 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b6
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Book Reviews

Front matter

  • PEM volume 34 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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  • PEM volume 34 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f3
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Back matter

  • PEM volume 34 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, p. b1
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  • PEM volume 34 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, p. b1
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Page 3 of 3