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.
@article{1834,
title = {On nuclear Bernstein algebras},
journal = {CUBO, A Mathematical Journal},
year = {1990},
language = {en},
url = {http://dml.mathdoc.fr/item/1834}
}
Baeza, Rodolfo. On nuclear Bernstein algebras. CUBO, A Mathematical Journal, (1990), . http://gdmltest.u-ga.fr/item/1834/