Pseudo-Complementation on Almost Distributive Lattices |
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| Authors: | U M Swamy G C Rao G Nanaji Rao |
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| Institution: | (1) Department of Mathematics, Andhra University, Visakhapatnam, 530 003, India |
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| Abstract: | The concept of a pseudo-complementation * on an almost distributive lattice (ADL) with 0 is introduced and it is proved that it is equationally definable. A one-to-one correspondence between the pseudo-complementations on an ADL L with 0 and maximal elements of L is obtained. It is also proved that L* = {a*|a  L} is a Boolean algebra which is independent (upto isomorphism) of the pseudo-complementation * on L.AMS Subject Classification (1991): 06D99 06D15 |
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| Keywords: | almost distributive lattice pseudo-complementation equationally definable class Boolean algebra maximal element |
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