sigma-ideals of Distributive p-algebras
Keywords:
Distributive p-algebras, boosters, sigma-ideals, homomorphismsAbstract
The concepts of boosters and -ideals are introduced in distributive
-algebras. Many properties of
-ideals are studied in terms of boosters. It is proved that the class of all boosters of a distributive
-algebra is a Boolean algebra. It is also observed that the lattice of all
-ideals of a distributive
-algebra is isomorphic to the ideal lattice of the lattice of all boosters. Finally, some properties of
-ideals are studied with respect to homomorphisms.