A note on $\sigma$-ideals of distributive lattices

نویسندگان
Sambasiva Rao, Mukkamala ID 1

1 Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005.

doi
10.22034/as.2022.2720
چکیده

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.

کلیدواژه‌ها
$alpha$-ideal, Annihilator, Boolean algebra, Generalized Stone lattices, Minimal Prime ideal, Relatively complemented lattice, $sigma $-ideal