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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.

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

  • 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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  • 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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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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Abstracts of Australasian Ph.D. theses

  • 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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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