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On some Gelfand-Mazur like theorems in p-normed algebras

Published online by Cambridge University Press:  17 April 2009

V.K. Srinivasan  and
Hu Shaing
V.K. Srinivasan
Affiliation:
Department of Mathematics, University of Texas at El Paso, El Paso, Texas 79968, USA.
Hu Shaing
Affiliation:
Department of Mathematics, University of Texas at El Paso, El Paso, Texas 79968, USA.
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Abstract

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The main theorem of this paper shows that a complex p-normed algebra which is a pre-Bezout domain is isomorphic to the field of complex numbers, if it is a generalized unique factorization domain. This theorem generalizes the previous result of the authors proved by them in their paper Bull. Austral. Math. Soc. 20 (1979), 247–252. Some applications are then given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 2 , May 1980 , pp. 211 - 221
Copyright
Copyright © Australian Mathematical Society 1980

References

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