Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Tarek Sayed Ahmed
Pages: [267] - [275]
Received Date: June 20, 2010
Submitted by:
For a cylindric set algebra 
with (base U and) unit 
and 
let 
be the subalgebra of 
generated by 
denotes the set of atoms of 
It is shown that, there exists a simple and
countable 
such that 
is atomic for every n and the
following hold. For every 
and 
has base U, there is a non-empty
such that for any 
is atomic for every n. Furthermore,
for every n, if and only if
cylindric set algebras.
