Chain Conjectures in Ring Theory: An Exposition of Conjectures on Catenary Chains

Louis J. Ratliff Jr. (auth.)3540087583, 9783540087588, 0387087583

Table of contents :
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