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Homological algebra 5: Ext(A,B)
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This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We define the groups Ext(A,B) for modules over a ring by analogy with Tor groups. We calculate these for cyclic abelian groups and explain how they are related to extensions of modules.
Reading: Section
Exercises:
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We define the groups Ext(A,B) for modules over a ring by analogy with Tor groups. We calculate these for cyclic abelian groups and explain how they are related to extensions of modules.
Reading: Section
Exercises:
Homological algebra 5: Ext(A,B)
12 Computations of some Standard Ext and Tor Examples
Group Cohomology [Part 5] Definition of Group Cohomology and Ext Functor
Talk about Ext and Tor
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'Vanishing of Ext modules and smoothness in algebraic varieties' by C. Miranda-Neto (UFPB)
Pavlov A. B. Homological Methods in Commutative Algebra. 24.10.2023.
VERIFY BY USING EXAMPLE (1) Ext(A)=COMPLEMENT OF CLOSURE OF A (2) Ext(X)=EMPTY SET
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