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2014•Asian-European Journal of MathematicsRequires access

The Stonity of a pseudo-complemented ADL

Ch. Santhi Sundar Raj, B. Venkateswarlu, R. Vasu Babu

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Abstract

The notion of Stonity of a pseudo-complemented Almost Distributive Lattice A is introduced and several properties of the Stonity S(A) of A are proved. Mainly, it is proved that the Stonity S(A) is the largest sub-ADL of A which is a Stone ADL and that S(A) is independent of the pseudo-complementation on A.

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What this paper is about

The notion of Stonity of a pseudo-complemented Almost Distributive Lattice A is introduced and several properties of the Stonity S(A) of A are proved. Mainly, it is proved that the Stonity S(A) is the largest sub-ADL of A which is a Stone ADL and that S(A) is independent of the pseudo-complementation on A.

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Available abstract

The notion of Stonity of a pseudo-complemented Almost Distributive Lattice A is introduced and several properties of the Stonity S(A) of A are proved. Mainly, it is proved that the Stonity S(A) is the largest sub-ADL of A which is a Stone ADL and that S(A) is independent of the pseudo-complementation on A.

Key concepts: Distributive property, Lattice (music), Distributive lattice, Complementation, Activities of daily living, Mathematics, Psychology, Pure mathematics

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