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Results tagged with projective-resolution
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user 22989
7
votes
Accepted
Minimality of the Koszul resolution
In the category of ungraded bimodules, the multiplication map $R\otimes_\mathbb{C}R\to R$ is not a projective cover. For example, the proper sub-bimodule of $R\otimes_\mathbb{C}R$ generated by $1\otim …
- 35.2k
2
votes
Accepted
Finitely generated module, which is a virtually small complex, embeds into a module of finit...
For every $M$, $M\oplus R$ is virtually small, so your question is equivalent to the question: Does every finitely generated $R$-module embed in a finitely generated module of finite projective dimen …
- 35.2k