International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 33-36, Pages 1881-1885
doi:10.1155/S0161171204306162
On hereditary interval algebras
M. Alami1
and D. Zhani2
1Department of Mathematics, Faculty of Sciences and Technology, Route D'Immouzer, Fez B. P. 2202, Morocco
2Department of Mathematics, Faculty of Sciences Dhar El Mehrez, Fez B. P. 1796, Morocco
Abstract
We show that each hereditary interval algebra has a countable density and not conversely. Moreover, we show that, for an interval algebra, having countable density and being subalgebra of the interval algebra over the real line are equivalent statements.