D-Ideals and Injective Ideals in a Distributive Lattice

Mukkamala Sambasiva Rao · International Journal of Mathematics and Soft Computing · 2012

Concepts of d -ideals and injective ideals are introduced in a distributive lattice with respect to derivations. d -ideals are characterized in terms of principal ideals. Later, an equivalent condition is derived for a d -ideal to become an injective ideal. The Stone’s theorem for ideals of a distributive lattice is xtended to the case of injective ideals.  Â

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