self doubt hasse diagram closed

Question

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.

Comments

L ={d,g,h,o ,i} and R={ f,i,h,g,o}

L ∩ R = {g, h,o, i}

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thanks got it !!

Answer 1

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Comments

thanks !!

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Can you please explain the process of finding the lower bound of (a,b) and (b,c)