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finite generation

Every page in the KEVOS library tagged finite generation. 2 pages.

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Module Rank, Finite Generation and Structure over Principal Ideal Domains

Module theory has several analogues of vector-space dimension. Rank, finite generation, torsion and the structure theorem over a principal ideal domain capture different aspects…

Engineering Mathematics14 Aug 2026 · 6 min read

Engineering↗

Noetherian Rings, Noetherian Modules and the Basis Theorem

Noetherian conditions formalise finiteness of submodule and ideal generation. They prevent endlessly increasing chains and guarantee finite algebraic descriptions in polynomial …

Engineering Mathematics14 Aug 2026 · 6 min read

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