Uniqueness Theorem in Complete Residuated Almost Distributive Lattices

Abstract

Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem in a complete complemented residuated ADL L are proved.

Keywords

• almost distributive lattice (adl)
• residuation
• multiplication
• residuated adl
• complete residuated adl
• primary decomposition
• reduced primary decomposition and normal primary decomposition
• 06d99
• 06d15