A note on \sigma-ideals of distributive lattices

Some properties of \sigma-ideals of distributive lattices are studied. The classes of Boolean algebras, generalized Stone lattices, relatively complemented lattices are characterized with the help of \sigma-ideals and maximal ideals. Some significant properties of prime \sigma-ideals are studied with the help of a congruence.

کلیدواژه ها:

alpha-ideal ، Annihilator ، Boolean algebra ، Generalized Stone lattices ، Minimal Prime ideal ، Relatively complemented lattice ، sigma -ideal