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Volume 41 - October 1998

Contents

Page 3 of 3

Obituary

  • Professor W. L. Edge

  • David Monk
  • Published online by Cambridge University Press:
    20 January 2009, pp. 631-641
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Book Reviews

Other

  • PEM volume 41 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f8
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Research Article

  • Products of derivations

  • T. Creedon
  • Published online by Cambridge University Press:
    20 January 2009, pp. 407-410
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  • We prove that if the product of two derivations on an algebra is a derivation, then the product maps the algebra into its nilradical. As a consequence we obtain a characterisation of when the product of two derivations on a semiprime algebra is a derivation. We also give a condition on two derivations on a Banach algebra which implies that their product has range contained in the Jacobson radical.

Book Reviews

Other

  • PEM volume 41 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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Research Article

  • Excision in Banach simplicial and cyclic cohomology

  • Zinaida A. Lykova
  • Published online by Cambridge University Press:
    20 January 2009, pp. 411-427
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  • We prove that, for every extension of Banach algebras 0 → B →A → D → 0 such that B has a left or right bounded approximate identity, the existence of an associated long exact sequence of Banach simplicial or cyclic cohomology groups is equivalent to the existence of one for homology groups. It follows from the continuous version of a result of Wodzicki that associated long exact sequences exist. In particular, they exist for every extension of C*-algebras.

Book Reviews

Front matter

  • PEM volume 41 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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  • PEM volume 41 issue 1 Cover and Front matter

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

  • PEM volume 41 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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  • PEM volume 41 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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Page 3 of 3