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

2 votes
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A note on perfect ideals

I am reading an article that cites this note: E.S. Golod, A note on perfect ideals, in: A.I. Kostrikin (Ed.), Algebra Collection, Nauka, Moscow, 1980, pp. 37–39. E. S. Golod, A note on perfect ideals, …
2 votes
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381 views

Relation between free resolutions and minimal free resolutions

Let $(R,\mathfrak{m},k)$ a Noetherian local ring and $M$ a finitely generated $R$-module. In this case, given $F_{\bullet}$ a free resolution of $M$, what is the relation between $F_{\bullet}$ and a m …