International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 12, Pages 731-735
doi:10.1155/S0161171201005579
Some results on ordered filters of implicative semigroups
Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea
Received 1 August 2000
Copyright © 2001 Young Bae Jun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.