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Volume 6 - June 1972

Contents

Page 3 of 4

Research Article

  • A non-cyclic, locally free, free-by-cyclic group all of whose finite factor groups are cyclic

  • Gilbert Baumslag
  • Published online by Cambridge University Press:
    17 April 2009, pp. 313-314
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  • We construct a group G with the properties stated in the title.

  • On the commutativity of near-rings III

  • Steve Ligh
  • Published online by Cambridge University Press:
    17 April 2009, pp. 459-464
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  • Part of the recent work on near-rings has been concerned with sufficient conditions for near-rings to be commutative. Recently Howard E. Bell proved that if a d.g. near-ring R has an identity and for each x, y in R, there exists an n(x, y) > 1, such that (xy−yx)n(x, y) = xy − yx, then R is a commutative ring. In this paper we drop the requirement that R has an identity and show that the other condition is sufficient (and necessary) for R to be commutative. The inspiration for an important lemma, comes from a result of B.H. Neumann.

  • Schauder decompositions in non-separable Banach spaces

  • J.J.M. Chadwick, R.W. Cross
  • Published online by Cambridge University Press:
    17 April 2009, pp. 133-144
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  • It is shown that Schauder decompositions exist in non-separable weakly compactly generated spaces and in certain non-separable conjugate spaces. Some results are obtained concerning shrinking and boundedly complete Schauder decompositions in non-separable spaces.

Abstracts of Australasian Ph.D. theses

  • Foundations of special relativity: kinematic axioms for Minkowski space-time

  • John W. Schutz
  • Published online by Cambridge University Press:
    17 April 2009, pp. 465-467
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  • Fixed points of semigroups in a Choquet simplex and compactlfication

  • Rodney Victor Nillsen
  • Published online by Cambridge University Press:
    17 April 2009, pp. 315-316
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  • Simultaneous diophantine approximation

  • J.M. Mack
  • Published online by Cambridge University Press:
    17 April 2009, pp. 317-318
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  • Right orders in full linear rings

  • Kevin C. O'Meara
  • Published online by Cambridge University Press:
    17 April 2009, pp. 468-470
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Research Article

  • Diffraction of planetary waves by a semi-infinite plate

  • P.P. Siew, D.G. Hurley
  • Published online by Cambridge University Press:
    17 April 2009, pp. 145-156
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  • In this paper the diffraction of a planetary wave by a semi-infinite plate of arbitrary inclination is investigated using a β-plane approximation. The Wiener-Hopf technique is used to obtain an integral representation of the solution and an asymptotic description of the diffracted wave is obtained by the method of steepest descent.

Abstracts of Australasian Ph.D. theses

  • Forced convection and some related integral equations

  • John Alan Belward
  • Published online by Cambridge University Press:
    17 April 2009, pp. 471-472
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Corrigendum

  • Some definitions of finiteness: Corrigenda

  • J.L. Hickman
  • Published online by Cambridge University Press:
    17 April 2009, p. 319
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  • The statements of Lemma 3 and Lemma 4 in [1] are incorrect. They should read as follows.

    LEMMA 3.

    LEMMA 4.

Abstracts of Australasian Ph.D. theses

  • On some aspects of finite soluble groups

  • A.R. Makan
  • Published online by Cambridge University Press:
    17 April 2009, pp. 157-158
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  • Varieties of soluble groups

  • J.R.J. Groves
  • Published online by Cambridge University Press:
    17 April 2009, pp. 159-160
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  • Steady two-dimensional viscous flow in a jet and in a wake

  • Kenneth Capell
  • Published online by Cambridge University Press:
    17 April 2009, pp. 473-475
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Front matter

  • BAZ volume 6 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f2
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Back matter

  • BAZ volume 6 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian Ph.D. theses

  • Long-period oscillations in rotating oceans

  • Peter Joseph Brown
  • Published online by Cambridge University Press:
    17 April 2009, pp. 476-477
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Front matter

  • BAZ volume 6 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f2
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Back matter

  • BAZ volume 6 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian Ph.D. theses

  • Transformation methods in nonlinear programming

  • D.M. Ryan
  • Published online by Cambridge University Press:
    17 April 2009, pp. 478-479
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Corrigendum

  • Error bounds in the approximation of functions: Corrigenda and an acknowledgement

  • Badri N. Sahney, V. Venu Gopal Rao
  • Published online by Cambridge University Press:
    17 April 2009, p. 480
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  • The following corrections should be made in the authors' paper [2]: Replace p. 12, line 4 by ‖f−Nn‖p, = 0(1/nα),

    The author's theorems are contained as special cases in [1], Theorem 1.

Page 3 of 4