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Proceedings of the Edinburgh Mathematical Society
ISSN: 0013-0915

EISSN: 1464-3839

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Volume 34 - October 1991

Contents

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Research Article

Modules whose closed submodules are finitely generated
Nguyen V. Dung
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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

G. J. O. Jameson, Summing and nuclear norms in Banach space theory (London Mathematical Society Student Texts 8, Cambridge University Press, 1987), xii + 172 pp., hard cover 0 521 34134 5, £27.50; paper 0 521 34937 0, £8.50.
T. A. Gillespie
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20 January 2009, pp. 333-334
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D. K. Arrowsmith and C. M. Place An Introduction to Dynamical Systems (Cambridge University Press, 1990), 433 pp., hard cover 0 521 30362 1, £50; paper 0 521 31650 2, £19.50.
Douglas C. Heggie
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20 January 2009, pp. 334-335
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A. J. Casson and S. A. Bleiler, Automorphisms of surfaces after Nielsen and Thurston (London Mathematical Society Student Texts 9, Cambridge University Press, Cambridge1988) 104 pp., cloth 0 521 34203 1, £20; paper 0 521 34985 0, £7.50.
C. Maclachlan
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20 January 2009, p. 167
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Front matter

PEM volume 34 issue 3 Cover and Front matter
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20 January 2009, pp. f1-f2
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Book Reviews

D. M. Bressoud, Factorization and primality testing (Undergraduate Texts in Mathematics, Springer-Verlag, Berlin-Heidelberg-New York1989), pp. xiii + 237, 3 540 97040 1, DM 98.
C. J. Smyth
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20 January 2009, p. 168
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V. I. Arnol'd, Huygens and Barrow, Newton and Hooke, translated by E. J. F. Primrose (Birkhäuser Verlag, Basel1990), 118 pp., 3 7643 2383 3, sFr 24.
Douglas C. Heggie
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20 January 2009, pp. 335-336
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Back matter

PEM volume 34 issue 3 Cover and Back matter
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20 January 2009, pp. b1-b6
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Front matter

PEM volume 34 issue 1 Cover and Front matter
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20 January 2009, pp. f1-f2
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PEM volume 34 issue 2 Cover and Front matter
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20 January 2009, pp. f1-f3
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Back matter

PEM volume 34 issue 1 Cover and Back matter
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20 January 2009, p. b1
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PEM volume 34 issue 2 Cover and Back matter
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20 January 2009, p. b1
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