Engineering↗
Derived Functors, Tor and Ext
Handbook guide to derived functors, tor and ext with core definitions, structural results, reasoning methods and verification checks.
Tag
module
Every page in the KEVOS library tagged module. 8 pages.
Engineering↗
Long Exact Homology Sequences and Module Resolutions
Handbook guide to long exact homology sequences and module resolutions with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Modules, Algebras and Module Homomorphisms
Handbook guide to modules, algebras and module homomorphisms with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Semisimple Rings and Module Decomposition
Handbook guide to semisimple rings and module decomposition, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Smith Normal Form and Module Structure
Handbook guide to smith normal form and module structure with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Operations on Subspaces and Modules
Sum, intersection and quotient of subspaces, and how the analogous operations on modules over the integers require normal forms.
Engineering↗
Modules and Module Homomorphisms
Modules over a ring, submodules and quotients, module homomorphisms, exact sequences, the short five lemma and the snake lemma.
Engineering↗
The Hermite Normal Form
Definition and uniqueness of the Hermite normal form, algorithms for computing it, entry explosion and its remedies, and its role as the representation of choice for modules and…
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