On nuclear Bernstein algebras

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Abstract

In [3] P. Holgate poved that the core of any orthogonal Bernstein algebra is special train algebra and consequently a genetic algebra. Let A be a Bernstein algebra. Then A is a nuclear algebra if and only if the core of A is A. The present paper proves that the core of a Bernstein algebra is a special train algebra. 

  • Rodolfo Baeza Departamento de Matemáticas y Estadística, Facultad de Ingeniería y Ciencias, Universidad de La Frontera, Casilla 54-D, Temuco - Chile.
  • Pages: 13–18
  • Date Published: 1990-07-01
  • No. 6 (1990): CUBO, Revista de Matemática

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Published

1990-07-01

How to Cite

[1]
R. Baeza, “On nuclear Bernstein algebras”, CUBO, no. 6, pp. 13–18, Jul. 1990.