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2010•Asian-European Journal of MathematicsRequires access

PSEUDO-COMPLEMENTATION ON GENERALIZED ALMOST DISTRIBUTIVE LATTICES

G. C. Rao, Ravikumar Bandaru, N. Rafi

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Abstract

The concept of a pseudo-complementation on a Generalized Almost Distributive Lattice (GADL) with 0 is introduced and proved that there is a one-to-one correspondence between the pseudo-complementations on a GADL L with 0 and left identity elements of L. The concept of *–GADL, disjunctive GADL is also introduced. We characterized *–GADL in terms of disjunctive GADL.

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What this paper is about

The concept of a pseudo-complementation on a Generalized Almost Distributive Lattice (GADL) with 0 is introduced and proved that there is a one-to-one correspondence between the pseudo-complementations on a GADL L with 0 and left identity elements of L. The concept of *–GADL, disjunctive GADL is also introduced. We characterized *–GADL in terms of disjunctive GADL.

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Available abstract

The concept of a pseudo-complementation on a Generalized Almost Distributive Lattice (GADL) with 0 is introduced and proved that there is a one-to-one correspondence between the pseudo-complementations on a GADL L with 0 and left identity elements of L. The concept of *–GADL, disjunctive GADL is also introduced. We characterized *–GADL in terms of disjunctive GADL.

Key concepts: Distributive property, Complementation, Distributive lattice, Mathematics, Lattice (music), Distributive justice, Combinatorics, Identity (music)

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