in Set Theory & Algebra
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Is 1 a lattice?

in Set Theory & Algebra
1.7k views

4 Comments

WHY ? @Gurdeep Saini

b,e least upper bound is f,

f,g has a glb as e.

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for a lattice every pair should have unique GLB and unique LUB but have it is 2
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ya got it !
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2 Answers

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1 vote
Best answer

In (2) for f & g we don't have greatest lower bound hence not a lattice. 

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4 Comments

chk again it has 2 lub
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edited by
yes 2 is not lattice
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Should GLB and LUB of a lattice be unique ?
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2 votes
2 votes

second is not a lattice

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