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Hasse diagram

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$D_n$ is boolean algebra if and only if $n$ is a product of distinct primes. That is all primes factors appear only once in the prime factorization of $n$.

$66 = 2 * 3 * 11 \;\;\;\;\; $ Therefore $D_{66}$ is boolean algebra.
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consider the following Hasse diagram of poset. assume lower bounds of {a,b} are represented by L and lower bounds of {b,c} are represented by R then $L\cap R$ ? accordng to me L ={d,g,h,o } and R={ f,i,h,o} $L\cap R$ ={ h,o}. correct me if i m done any mistake.
consider the following Hasse diagram of poset.assume lower bounds of {a,b} are represented by L and lower bounds of {b,c} are represented by Rthen $L\cap R$ ?accordng to...
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