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

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Author(s): Louis J. Ratliff Jr. (auth.)
Series: Lecture Notes in Mathematics 647
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1978

Language: English
Pages: 138
City: Berlin; New York
Tags: Mathematics, general

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