The paper describes the situation when a linearly ordered pseudo-BCK-algebra is an ordinal sum of linearly ordered cone algebras. The residuation subreducts of representable pseudo-BL-algebras are axiomatized.
The paper describes the situation when a linearly ordered pseudo-BCK-algebra is an ordinal sum of linearly ordered cone algebras. The residuation subreducts of representable pseudo-BL-algebras are axiomatized. (en)