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Question

A sublattice(say, S) of a lattice(say, L) is a convex sublattice of L if _________

a.

x>=z, where x in S implies z in S, for every element x, y in L

b.

x=y and y<=z, where x, y in S implies z in S, for every element x, y, z in L

c.

x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L

d.

x=y and y>=z, where x, y in S implies z in S, for every element x, y, z in L

Answer: (c).x<=y<=z, where x, y in S implies z in S, for every element x, y, z in L

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Q. A sublattice(say, S) of a lattice(say, L) is a convex sublattice of L if _________

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