Chain Conjectures In Ring Theory: An Exposition Of Conjectures On Catenary Chains (lecture Notes In Mathematics ; 647)

Louis J. Ratliff, Jr. Includes Index. Bibliography: P. [125]-130. Introduction....Pages 1-4 Definitions and basic results....Pages 5-13 Some recently solved problems....Pages 14-19 Some (catenary) chain conjectures....Pages 20-44 The chain conjecture....Pages 45-52 The Depth Conjecture and the weak Depth Conjecture....Pages 53-56 The H-conjecture....Pages 57-62 The descended GB-conjecture and the GB-conjecture....Pages 63-66 The strong avoidance conjecture and the avoidance conjecture....Pages 67-69 The upper conjecture....Pages 70-74 The taut-level conjecture....Pages 75-78 The catenary chain conjecture....Pages 79-85 The normal chain conjecture....Pages 86-87 Comments on (3.3.1) and conjecture (K)....Pages 88-89 Some examples....Pages 90-92 Some related questions....Pages 93-98