in Set Theory & Algebra
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1.”Maximal and Minimal element is unique in case of Bounded Lattice” [This is necessary condition not sufficient.] i.e Upper bound =Maximal and Lower bound =Minimal for Bounded lattice.

2.Upper bound and lower bound in Bounded lattice is unique.

am i correct???
in Set Theory & Algebra
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@Shaik Masthan @Gupta731 can u plz clearify it.

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If it is a bounded lattice, then there should be only one least(minimum) element and greatest(maximum) element.

Maximal and Minimal are different from maximum and minimum.

Minimal - Element which does not have predecessors.

Minimum - Element which is least for all the elements in lattice.

Maximal - Element which does not have successors.

Maximum - Element which is greatest for all the elements in lattice
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@Abhisek Tiwari 4

once you asked, "subset of distributive lattice " question, right ?

i am unable to find it !

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in a bounded lattice, the upper bound and lower bound are itself the maximum and minimum elements of the lattice right?

But if it isnt a bounded lattice, then there exists no maximum and minimum element right?

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Yeah , Every finite lattice is bounded by minimal and maximal element (bounded lattice). Check this,

https://gateoverflow.in/183964/lattice

 

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what about a lattice with only 1 element ?
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