Chain Conjectures in Ring Theory : An Exposition of Conjectures on Catenary Chains Definitions and basic results Some recently solved problems Some (catenary) chain conjectures The chain conjecture The Depth Conjecture and the weak Depth Conjecture The H conjecture The descended GB conjecture and the GB conjecture The strong avoidance conjecture and the avoidance conjecture The upper conjecture The taut level conjecture The catenary chain conjecture The normal chain conjecture Comments on (3.3.1) and conjecture (K) Some examples Some related questions.