Abstract:This paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial). The results are used to prove characterizations of modularity and distributivity.
Keywords: implicative ideals, modular ideals, pentagonal ideals, even ideals, rectangular ideals, medial ideals, modularity, distributivity
AMS Subject Classification: 06B10, 06C99, 06D99