_______ characterizes the properties of distributive lattices.(a) Congruence Extension Property(b) Algebraic extension property(c) Poset(d) SemigroupThe question was asked by my college director while I was bunking the class.My question is based upon Groups topic in portion Groups of Discrete Mathematics

_______ characterizes the properties of distributive lattices.(a) Cong

1.	_______ characterizes the properties of distributive lattices.(a) Congruence Extension Property(b) Algebraic extension property(c) Poset(d) SemigroupThe question was asked by my college director while I was bunking the class.My question is based upon Groups topic in portion Groups of Discrete Mathematics
Answer» The correct answer is (b) Algebraic extension property The BEST I can EXPLAIN: An ALGEBRA A describes the congruence extension property (CEP) if for every B≤A and θ∈Con(B) there exists a φ∈Con(A) such that θ = φ∩(B×B). A class M of ALGEBRAS has the CEP if every algebra in the class has the CEP. The Congruence Extension Property specifically CHARACTERIZES the distributive lattices among all lattices.

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