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Questions tagged [long-exact-sequence]

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7 votes
1 answer
468 views

An exact sequence involving THH

Disclaimer: I'm a relative beginner in this area. I'm trying to prove that if one has a commutative ring $R$ and a prime number $p$, then there is an exact sequence of the form $$\DeclareMathOperator\...
3 votes
2 answers
379 views

Zeros of higher Ext functors

I'm trying to understand module classes that are defined as the kernels of higher Ext functors (e.g., arising here; as this paper suggests, I'm coming at this problem outside of module theory). One ...