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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

0 votes
0 answers
163 views

A complex with homology $=R/p$

Given a Noetherian ring $R$ . I am looking for a bounded complex $X$ of finitel geenerated projectives over $R$ whose homology is $R/p$. Infact I just need $X$ to have $\operatorname{Supp}(H(X)) = \ov …
Subham Jaiswal's user avatar
2 votes
1 answer
145 views

Why is this map a split monomorphism?

I have a question regarding a lemma in the proof of Hopkins-Neeman Correspondence. It is the beginning part of Lemma 1.2 in the The Chromatic Tower for D(R) Let $Y$ be an object of the derived cate …
Subham Jaiswal's user avatar