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

Document Type : Research Paper


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



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.


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