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Proceedings of the American Mathematical Society

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Projective extensions of Banach algebras


Author: Andy R. Magid
Journal: Proc. Amer. Math. Soc. 54 (1976), 154-156
MSC: Primary 46H20
DOI: https://doi.org/10.1090/S0002-9939-1976-0407606-0
MathSciNet review: 0407606
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Abstract: It is shown that if $ A$ is a commutative Banach algebra and $ B$ a faithful $ A$-algebra finitely generated and projective as an $ A$-module then $ B$ can be endowed with a structure of Banach algebra extending that of $ A$.


References [Enhancements On Off] (What's this?)

  • [AH] R. Arens and K. Hoffman, Algebraic extension of normed algebras, Proc. Amer. Math. Soc. 7(1956), 203-210. MR17, 1113. MR 0077901 (17:1113e)
  • [B] H. Bass, Algebraic $ K$-theory, Benjamin, New York, 1968. MR40 #2736. MR 0249491 (40:2736)
  • [DI] F. R. DeMeyer and E. Ingraham, Separable algebras over commutative rings, Lecture Notes in Math., vol. 181, Springer-Verlag, Berlin and New York, 1971. MR43 #6199. MR 0280479 (43:6199)
  • [M] A. Magid, Algebraically separable extensions of Banach algebras, Michigan Math. J. 21(1974), 137-143. MR 0350430 (50:2922)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0407606-0
Keywords: Projective module, Banach space, commutant
Article copyright: © Copyright 1976 American Mathematical Society

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