%0 Journal Article %T A note on $\sigma$-ideals of distributive lattices %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Sambasiva Rao, Mukkamala %D 2022 %\ 08/09/2022 %V 9 %N 2 %P 163-179 %! A note on $\sigma$-ideals of distributive lattices %K $alpha$-ideal %K Annihilator %K Boolean algebra %K Generalized Stone lattices %K Minimal Prime ideal %K Relatively complemented lattice %K $sigma $-ideal %R 10.22034/as.2022.2720 %X 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. %U https://as.yazd.ac.ir/article_2720_805ecd24baee577adeb94b5b3357d8da.pdf