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Abstract
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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

Young Bae Jun

Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea

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.