Slenderness: Volume 1, Abelian Categories

Introduction; 1. Topological rings and modules and their completions; 2. Inverse limits; 3. The idea of slenderness; 4. Objects of type ? / \coprod; 5. Concrete examples. Slender rings; 6. More examples of slender objects; Appendix. Ordered sets and measurable cardinals; References; Notation index; Name Index; Subject index.

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• Topologia algébrica
• Álgebra
• Teoria dos conjuntos

slender object; slender module; slender ring; non-measurable cardinal; Los Principle; complete module; complete ring; completion; metrizable space; metrizable object; filtrations; slender Noetherian ring; slender Dedekind ring; slender boolean ring; slender function ring; slender ring of analytic functions; product; coproduct; product mod coproduct; surjective inverse system; Mittag-Leffler condition; Abelian category; characterization of slenderness; filter quotients; graded module; polynomial ring; semigroup algebra