Engineering↗
Computing Ext Groups
Techniques for computing Ext: choice of variable, use of the long exact sequences, standard computations over the integers, and Ext for cyclic and finitely generated modules.
Tag
Long Exact Sequence
Every page in the KEVOS library tagged Long Exact Sequence. 4 pages.
Engineering↗
The Long Exact Homology Sequence
The long exact sequence associated to a short exact sequence of complexes, construction of the connecting homomorphism, naturality, and the standard applications.
Engineering↗
The Long Exact Sequences of Derived Functors
Derivation of the long exact sequences of derived functors via the horseshoe lemma, their naturality, dimension shifting and the standard computational patterns.
Engineering↗
The Two Long Exact Sequences of Ext
The long exact sequences of Ext in the first and second variables, their connecting homomorphisms, naturality, and the direction reversal caused by contravariance.
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